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Identifier
Values
=>
Cc0005;cc-rep
[]=>0 [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]=>0 [1,1,1,0,0,0]=>1 [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]=>0 [1,0,1,1,1,0,0,0]=>1 [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]=>0 [1,1,0,1,0,1,0,0]=>0 [1,1,0,1,1,0,0,0]=>1 [1,1,1,0,0,0,1,0]=>1 [1,1,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,0,0]=>2 [1,1,1,1,0,0,0,0]=>2 [1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,1,0,0,1,0]=>0 [1,0,1,0,1,1,0,1,0,0]=>0 [1,0,1,0,1,1,1,0,0,0]=>1 [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]=>0 [1,0,1,1,0,1,0,1,0,0]=>0 [1,0,1,1,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,0,0,0]=>2 [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]=>0 [1,1,0,0,1,1,1,0,0,0]=>1 [1,1,0,1,0,0,1,0,1,0]=>0 [1,1,0,1,0,0,1,1,0,0]=>0 [1,1,0,1,0,1,0,0,1,0]=>0 [1,1,0,1,0,1,0,1,0,0]=>0 [1,1,0,1,0,1,1,0,0,0]=>1 [1,1,0,1,1,0,0,0,1,0]=>1 [1,1,0,1,1,0,0,1,0,0]=>1 [1,1,0,1,1,0,1,0,0,0]=>2 [1,1,0,1,1,1,0,0,0,0]=>2 [1,1,1,0,0,0,1,0,1,0]=>1 [1,1,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,0,1,0,0,1,0]=>1 [1,1,1,0,0,1,0,1,0,0]=>1 [1,1,1,0,0,1,1,0,0,0]=>2 [1,1,1,0,1,0,0,0,1,0]=>2 [1,1,1,0,1,0,0,1,0,0]=>2 [1,1,1,0,1,0,1,0,0,0]=>3 [1,1,1,0,1,1,0,0,0,0]=>3 [1,1,1,1,0,0,0,0,1,0]=>2 [1,1,1,1,0,0,0,1,0,0]=>2 [1,1,1,1,0,0,1,0,0,0]=>3 [1,1,1,1,0,1,0,0,0,0]=>3 [1,1,1,1,1,0,0,0,0,0]=>4 [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]=>0 [1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,0,1,0,1,1,0,0,1,0,1,0]=>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]=>0 [1,0,1,0,1,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,1,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,0]=>2 [1,0,1,0,1,1,1,1,0,0,0,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,0]=>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]=>0 [1,0,1,1,0,0,1,1,1,0,0,0]=>1 [1,0,1,1,0,1,0,0,1,0,1,0]=>0 [1,0,1,1,0,1,0,0,1,1,0,0]=>0 [1,0,1,1,0,1,0,1,0,0,1,0]=>0 [1,0,1,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,1,1,0,0,0]=>1 [1,0,1,1,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,1,0,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,1,1,1,1,0,0,0,0,0]=>4 [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]=>0 [1,1,0,0,1,0,1,1,1,0,0,0]=>1 [1,1,0,0,1,1,0,0,1,0,1,0]=>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]=>0 [1,1,0,0,1,1,0,1,0,1,0,0]=>0 [1,1,0,0,1,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,1,0,0,1,0,1,0,1,0]=>0 [1,1,0,1,0,0,1,0,1,1,0,0]=>0 [1,1,0,1,0,0,1,1,0,0,1,0]=>0 [1,1,0,1,0,0,1,1,0,1,0,0]=>0 [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]=>0 [1,1,0,1,0,1,0,0,1,1,0,0]=>0 [1,1,0,1,0,1,0,1,0,0,1,0]=>0 [1,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,1,0,1,0,1,0,1,1,0,0,0]=>1 [1,1,0,1,0,1,1,0,0,0,1,0]=>1 [1,1,0,1,0,1,1,0,0,1,0,0]=>1 [1,1,0,1,0,1,1,0,1,0,0,0]=>2 [1,1,0,1,0,1,1,1,0,0,0,0]=>2 [1,1,0,1,1,0,0,0,1,0,1,0]=>1 [1,1,0,1,1,0,0,0,1,1,0,0]=>1 [1,1,0,1,1,0,0,1,0,0,1,0]=>1 [1,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,1,0,1,1,0,0,1,1,0,0,0]=>2 [1,1,0,1,1,0,1,0,0,0,1,0]=>2 [1,1,0,1,1,0,1,0,0,1,0,0]=>2 [1,1,0,1,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,1,0,1,1,0,0,0,0]=>3 [1,1,0,1,1,1,0,0,0,0,1,0]=>2 [1,1,0,1,1,1,0,0,0,1,0,0]=>2 [1,1,0,1,1,1,0,0,1,0,0,0]=>3 [1,1,0,1,1,1,0,1,0,0,0,0]=>3 [1,1,0,1,1,1,1,0,0,0,0,0]=>4 [1,1,1,0,0,0,1,0,1,0,1,0]=>1 [1,1,1,0,0,0,1,0,1,1,0,0]=>1 [1,1,1,0,0,0,1,1,0,0,1,0]=>1 [1,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,1,1,0,0,1,0,0,1,0,1,0]=>1 [1,1,1,0,0,1,0,0,1,1,0,0]=>1 [1,1,1,0,0,1,0,1,0,0,1,0]=>1 [1,1,1,0,0,1,0,1,0,1,0,0]=>1 [1,1,1,0,0,1,0,1,1,0,0,0]=>2 [1,1,1,0,0,1,1,0,0,0,1,0]=>2 [1,1,1,0,0,1,1,0,0,1,0,0]=>2 [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]=>3 [1,1,1,0,1,0,0,0,1,0,1,0]=>2 [1,1,1,0,1,0,0,0,1,1,0,0]=>2 [1,1,1,0,1,0,0,1,0,0,1,0]=>2 [1,1,1,0,1,0,0,1,0,1,0,0]=>2 [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]=>4 [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]=>3 [1,1,1,0,1,1,0,0,0,1,0,0]=>3 [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]=>2 [1,1,1,1,0,0,0,0,1,1,0,0]=>2 [1,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,1,1,1,0,0,0,1,0,1,0,0]=>2 [1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,1,1,1,0,0,1,0,0,1,0,0]=>3 [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]=>3 [1,1,1,1,0,1,0,0,0,1,0,0]=>3 [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]=>4 [1,1,1,1,1,0,0,0,0,1,0,0]=>4 [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]=>6 [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]=>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]=>0 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>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]=>0 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>2 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>2 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>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]=>0 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>1 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>0 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>0 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>0 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>2 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>2 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>2 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>4 [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]=>0 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>1 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>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]=>0 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>0 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>2 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>2 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>0 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>0 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>0 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>0 [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]=>0 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>0 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>0 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>1 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>1 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>2 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>3 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>2 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>3 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>4 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>1 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>2 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>2 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>2 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>2 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>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]=>4 [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]=>3 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>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]=>2 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>2 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>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]=>3 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>3 [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]=>4 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>4 [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]=>6 [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]=>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]=>0 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>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]=>0 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>0 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>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]=>0 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>1 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>0 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>0 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>0 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>0 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>2 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>2 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>2 [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]=>3 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>4 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>0 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>0 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>0 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>0 [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]=>0 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>0 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>0 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>0 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>1 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>2 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>0 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>0 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>0 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>0 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>1 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>0 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>0 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>1 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>1 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>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]=>1 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>2 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>2 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>2 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>3 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>2 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>2 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>3 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>3 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>4 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>1 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>1 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>1 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>1 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>1 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>1 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>1 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>2 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>2 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>2 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>3 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>2 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>2 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>2 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>2 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>3 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>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]=>4 [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]=>3 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>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]=>2 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>2 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>2 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>3 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>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]=>3 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>3 [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]=>4 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>4 [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]=>6 [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]=>1 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>1 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>1 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>1 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>2 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>1 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>1 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>1 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>1 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>2 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>2 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>2 [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]=>3 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>1 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>1 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>1 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>1 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>2 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>1 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>1 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>1 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>1 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>2 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>2 [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]=>3 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>3 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>2 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>2 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>2 [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]=>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]=>4 [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]=>3 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>3 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>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]=>2 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>2 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>2 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>2 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>3 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>2 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>2 [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]=>2 [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]=>4 [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]=>4 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>4 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>4 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>5 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>5 [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]=>5 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>5 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>6 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>3 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>3 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>3 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>3 [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]=>5 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>5 [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]=>5 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>5 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>6 [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]=>6 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>6 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>7 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>7 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>2 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>2 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>2 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>2 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>2 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>2 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>2 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>3 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>3 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>3 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>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]=>3 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>3 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>3 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>3 [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]=>5 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>5 [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]=>5 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>5 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>6 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>3 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>3 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>3 [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]=>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]=>5 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>5 [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]=>5 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>5 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>6 [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]=>6 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>6 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>7 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>7 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>4 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>4 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>4 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [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]=>6 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [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]=>6 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>6 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>7 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>6 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>6 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>7 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>7 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>8 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>8 [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]=>7 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>7 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>8 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>8 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>9 [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]=>0 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>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]=>0 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>2 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>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]=>0 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>1 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>0 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>0 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>1 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>1 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>2 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>2 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>2 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>3 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>4 [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]=>0 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>1 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>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]=>0 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>2 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>2 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>0 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>0 [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]=>0 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>0 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>0 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>2 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>2 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>2 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>3 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>2 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>2 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>3 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>4 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>2 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>2 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>2 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>2 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>2 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>2 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>3 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>4 [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]=>3 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>5 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>2 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>3 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>3 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>5 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>4 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>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]=>6 [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]=>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]=>0 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>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]=>0 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>0 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>1 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>2 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>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]=>0 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>1 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>0 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>0 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>0 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>1 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>2 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>4 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>0 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>0 [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]=>0 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>0 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>0 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>1 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>2 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>0 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>0 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>0 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>1 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>0 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>0 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>0 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>1 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>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]=>1 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>3 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>2 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>2 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>3 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>4 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>2 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>2 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>2 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>3 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>3 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>3 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>4 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>3 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>3 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>3 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>3 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>4 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>6 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>6 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>2 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>2 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>2 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>2 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>2 [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]=>3 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>2 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>2 [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]=>3 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>3 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>4 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>4 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>3 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>4 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>5 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>2 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>2 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>2 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>2 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>2 [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]=>2 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>3 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>4 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>4 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>4 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>4 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>5 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>4 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>5 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>6 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>3 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>3 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>3 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>4 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>4 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>4 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>6 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>5 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>6 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>6 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>7 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>7 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>2 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>2 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>2 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>2 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>2 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>3 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>3 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>3 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>5 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>5 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>5 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>5 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>6 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>3 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>3 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>3 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>3 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>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]=>5 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>5 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>4 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>5 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>5 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>6 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>5 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>5 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>6 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>6 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>7 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>7 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>4 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>4 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>4 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>5 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>5 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>5 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>6 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>6 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>5 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>5 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>6 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>6 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>7 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>6 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>6 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>7 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>7 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>8 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>8 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>6 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>7 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>7 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>8 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>8 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>9 [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]=>0 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>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]=>0 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>0 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>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]=>0 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>0 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>0 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>0 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>0 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>2 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>2 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>4 [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]=>0 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>1 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>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]=>0 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>0 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>0 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>0 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>0 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>0 [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]=>0 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>0 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>0 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>3 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>3 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>3 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>3 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>4 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>2 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>2 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>3 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>3 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>2 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>2 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>2 [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]=>3 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>3 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>3 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>4 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>3 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>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]=>2 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>2 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>3 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>3 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>3 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>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]=>4 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>4 [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]=>6 [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]=>0 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>0 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>0 [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]=>0 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>0 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>0 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>0 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>2 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>0 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>2 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>2 [1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0]=>0 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>0 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>0 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>1 [1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>2 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>2 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0]=>1 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>1 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>1 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>2 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>4 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>4 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>8 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>8 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>9 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0]=>3 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>1 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>1 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>1 [1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,0]=>2 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>2 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>4 [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]=>2 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0]=>2 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>4 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>3 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>3 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>4 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>4 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>5 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>5 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>6 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>6 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>4 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>6 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>7 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>5 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>7 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>8 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>7 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>8 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>8 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>9 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>9 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>10 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>2 [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 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>6 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>4 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>4 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>6 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>7 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>8 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>8 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>5 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>8 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>9 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>7 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>7 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>8 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>8 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>9 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>10 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>5 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>6 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>7 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>8 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>5 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>7 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>8 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>9 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>6 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>8 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>8 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>10 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>10 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>8 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>8 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>9 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>9 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>10 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>10 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>11 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>6 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>7 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>7 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>8 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>9 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>8 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>8 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>9 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>10 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>10 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>8 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>8 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>9 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>10 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>10 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>11 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>9 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>9 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>10 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>10 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>11 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>11 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>12 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>12 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>12 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>12 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>12 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>12 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>11 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>11 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>11 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>11 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>11 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>10 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>9 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>9 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>9 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>8 [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>8 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>9 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>8 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>8 [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>8 [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>8 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0]=>2 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>1 [1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>11 [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>12 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>12 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1 [1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0,0]=>2 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>6 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>7 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>13 [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>14 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>11 [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>13 [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>14 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>11 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>12 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>15 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>12 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>13 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>15 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>15 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>16 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>0 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>6 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [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]=>1 [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]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>0 [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]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>0 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>0 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>0 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>0 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>6 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>5 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>0 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>6 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>6 [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]=>16 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>16 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>15 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>15 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>15 [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>15 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>12 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>12 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>12 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]=>12 [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>12 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>12 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>9 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>9 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>20 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>1 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>19 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>0 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>16 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>16 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>15 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>20 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>8 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>8 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>8 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>6 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>8 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>8 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>6 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>6 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>6 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>6 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>8 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>8 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>6 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>8 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>8 [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]=>4 [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]=>4 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>4 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>4 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>4 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>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]=>4 [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]=>8 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>8 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>6 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>8 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>8 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>6 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>6 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>6 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>6 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>8 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>8 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>6 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>8 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>8 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>7 [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]=>18 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>8 [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>8 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>20 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>20 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>24 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>20 [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>24 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>9 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>25 [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>16 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>16 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>12 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>12 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0]=>12 [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>12 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>12 [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>12 [1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>12 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>10 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>10 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>10 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>10 [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>12 [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>12 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>12 [1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>12 [1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>12 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>10 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>10 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>8 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>10 [1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>10 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>8 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>8 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>8 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>8 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]=>10 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>10 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>8 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>10 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>10 [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>12 [1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>12 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>12 [1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>12 [1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>12 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>10 [1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>10 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>10 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>10 [1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>12 [1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>12 [1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>12 [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>12 [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>12 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>8 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>8 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>6 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>8 [1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>8 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>6 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>6 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>6 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>6 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>8 [1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>8 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>6 [1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>8 [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>8 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>6 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>6 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>6 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>6 [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>6 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>6 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>6 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>6 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>6 [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>6 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]=>6 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>6 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>6 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>6 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>6 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>6 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>6 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>6 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>6 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>6 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>8 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>8 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>6 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>8 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>8 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>6 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>6 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>6 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>6 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>8 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>8 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>6 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>8 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>8 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>12 [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>12 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>12 [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>12 [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0]=>12 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>10 [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>10 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>10 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>10 [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0]=>12 [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]=>12 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>12 [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]=>12 [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]=>12 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>10 [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>10 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>8 [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>10 [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>10 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>8 [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>8 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>8 [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>8 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0]=>10 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>10 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>8 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>10 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>10 [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>12 [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0]=>12 [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>12 [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]=>12 [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>12 [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>10 [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>10 [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>10 [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>10 [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]=>12 [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>12 [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>12 [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]=>12 [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>12
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Description
The normalized area of the parallelogram polyomino associated with the Dyck path.
The area of the smallest parallelogram polyomino equals the semilength of the Dyck path. This statistic is therefore the area of the parallelogram polyomino minus the semilength of the Dyck path.
The area itself is equidistributed with St001034The area of the parallelogram polyomino associated with the Dyck path. and with St000395The sum of the heights of the peaks of a Dyck path..
Code
def statistic(D):
    return ParallelogramPolyomino.from_dyck_word(D).area()-D.semilength()
Created
Nov 06, 2017 at 10:56 by Martin Rubey
Updated
Aug 21, 2020 at 13:41 by Martin Rubey