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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]=>1 [1,1,0,1,0,0]=>0 [1,1,1,0,0,0]=>0 [1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,1,0,0]=>0 [1,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,0]=>0 [1,0,1,1,1,0,0,0]=>0 [1,1,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,0,0]=>1 [1,1,0,1,0,0,1,0]=>1 [1,1,0,1,0,1,0,0]=>0 [1,1,0,1,1,0,0,0]=>0 [1,1,1,0,0,0,1,0]=>1 [1,1,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,0,0]=>0 [1,1,1,1,0,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,0]=>0 [1,0,1,0,1,1,1,0,0,0]=>0 [1,0,1,1,0,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,0]=>0 [1,0,1,1,0,1,1,0,0,0]=>0 [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]=>0 [1,0,1,1,1,1,0,0,0,0]=>0 [1,1,0,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,0]=>1 [1,1,0,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,0,0]=>1 [1,1,0,1,0,0,1,0,1,0]=>1 [1,1,0,1,0,0,1,1,0,0]=>1 [1,1,0,1,0,1,0,0,1,0]=>1 [1,1,0,1,0,1,0,1,0,0]=>0 [1,1,0,1,0,1,1,0,0,0]=>0 [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]=>0 [1,1,0,1,1,1,0,0,0,0]=>0 [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]=>2 [1,1,1,0,0,1,0,1,0,0]=>1 [1,1,1,0,0,1,1,0,0,0]=>1 [1,1,1,0,1,0,0,0,1,0]=>1 [1,1,1,0,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,1,0,0,0]=>0 [1,1,1,0,1,1,0,0,0,0]=>0 [1,1,1,1,0,0,0,0,1,0]=>1 [1,1,1,1,0,0,0,1,0,0]=>1 [1,1,1,1,0,0,1,0,0,0]=>1 [1,1,1,1,0,1,0,0,0,0]=>0 [1,1,1,1,1,0,0,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,0,1,1,0,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,1,0,0]=>0 [1,0,1,0,1,0,1,1,1,0,0,0]=>0 [1,0,1,0,1,1,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,1,0,1,1,0,0,0]=>0 [1,0,1,0,1,1,1,0,0,0,1,0]=>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]=>0 [1,0,1,0,1,1,1,1,0,0,0,0]=>0 [1,0,1,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,0]=>1 [1,0,1,1,0,1,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,1,1,0,0,0]=>0 [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]=>0 [1,0,1,1,0,1,1,1,0,0,0,0]=>0 [1,0,1,1,1,0,0,0,1,0,1,0]=>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]=>2 [1,0,1,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,0,1,1,0,0,0,0]=>0 [1,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,0,0,0]=>0 [1,0,1,1,1,1,1,0,0,0,0,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,1,0,0]=>1 [1,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,0]=>1 [1,1,0,0,1,1,0,0,1,0,1,0]=>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]=>1 [1,1,0,0,1,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,1,0,0,1,1,1,0,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,0]=>1 [1,1,0,1,0,0,1,0,1,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,1,0,0]=>1 [1,1,0,1,0,0,1,1,0,0,1,0]=>2 [1,1,0,1,0,0,1,1,0,1,0,0]=>1 [1,1,0,1,0,0,1,1,1,0,0,0]=>1 [1,1,0,1,0,1,0,0,1,0,1,0]=>1 [1,1,0,1,0,1,0,0,1,1,0,0]=>1 [1,1,0,1,0,1,0,1,0,0,1,0]=>1 [1,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,1,0,1,0,1,0,1,1,0,0,0]=>0 [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]=>0 [1,1,0,1,0,1,1,1,0,0,0,0]=>0 [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]=>2 [1,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,1,0,1,1,0,0,1,1,0,0,0]=>1 [1,1,0,1,1,0,1,0,0,0,1,0]=>1 [1,1,0,1,1,0,1,0,0,1,0,0]=>1 [1,1,0,1,1,0,1,0,1,0,0,0]=>0 [1,1,0,1,1,0,1,1,0,0,0,0]=>0 [1,1,0,1,1,1,0,0,0,0,1,0]=>1 [1,1,0,1,1,1,0,0,0,1,0,0]=>1 [1,1,0,1,1,1,0,0,1,0,0,0]=>1 [1,1,0,1,1,1,0,1,0,0,0,0]=>0 [1,1,0,1,1,1,1,0,0,0,0,0]=>0 [1,1,1,0,0,0,1,0,1,0,1,0]=>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]=>2 [1,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,1,1,0,0,0,1,1,1,0,0,0]=>1 [1,1,1,0,0,1,0,0,1,0,1,0]=>2 [1,1,1,0,0,1,0,0,1,1,0,0]=>2 [1,1,1,0,0,1,0,1,0,0,1,0]=>2 [1,1,1,0,0,1,0,1,0,1,0,0]=>1 [1,1,1,0,0,1,0,1,1,0,0,0]=>1 [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]=>1 [1,1,1,0,0,1,1,1,0,0,0,0]=>1 [1,1,1,0,1,0,0,0,1,0,1,0]=>1 [1,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,1,0,0,1,0,0,1,0]=>2 [1,1,1,0,1,0,0,1,0,1,0,0]=>1 [1,1,1,0,1,0,0,1,1,0,0,0]=>1 [1,1,1,0,1,0,1,0,0,0,1,0]=>1 [1,1,1,0,1,0,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,1,0,1,0,0,0]=>0 [1,1,1,0,1,0,1,1,0,0,0,0]=>0 [1,1,1,0,1,1,0,0,0,0,1,0]=>1 [1,1,1,0,1,1,0,0,0,1,0,0]=>1 [1,1,1,0,1,1,0,0,1,0,0,0]=>1 [1,1,1,0,1,1,0,1,0,0,0,0]=>0 [1,1,1,0,1,1,1,0,0,0,0,0]=>0 [1,1,1,1,0,0,0,0,1,0,1,0]=>1 [1,1,1,1,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,1,1,1,0,0,0,1,0,1,0,0]=>1 [1,1,1,1,0,0,0,1,1,0,0,0]=>1 [1,1,1,1,0,0,1,0,0,0,1,0]=>2 [1,1,1,1,0,0,1,0,0,1,0,0]=>2 [1,1,1,1,0,0,1,0,1,0,0,0]=>1 [1,1,1,1,0,0,1,1,0,0,0,0]=>1 [1,1,1,1,0,1,0,0,0,0,1,0]=>1 [1,1,1,1,0,1,0,0,0,1,0,0]=>1 [1,1,1,1,0,1,0,0,1,0,0,0]=>1 [1,1,1,1,0,1,0,1,0,0,0,0]=>0 [1,1,1,1,0,1,1,0,0,0,0,0]=>0 [1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,0,0,0,1,0,0,0]=>1 [1,1,1,1,1,0,0,1,0,0,0,0]=>1 [1,1,1,1,1,0,1,0,0,0,0,0]=>0 [1,1,1,1,1,1,0,0,0,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>0 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>1 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>0 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>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]=>0 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>0 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>1 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>0 [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]=>0 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>0 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>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]=>2 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>0 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>0 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>0 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>0 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>1 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>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]=>1 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>1 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>0 [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]=>0 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>0 [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]=>2 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>0 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>1 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>0 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>0 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>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]=>2 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>2 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>2 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>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]=>1 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>0 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>1 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>0 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>0 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1 [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]=>1 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>0 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>1 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>1 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>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]=>1 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1 [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]=>3 [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]=>2 [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]=>1 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>2 [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]=>2 [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]=>1 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>2 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>1 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>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]=>1 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>1 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>2 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>1 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>1 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>1 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>2 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>1 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>1 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>1 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>1 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>0 [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]=>0 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>0 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>1 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>1 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>2 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>1 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>1 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>1 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>0 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>0 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>1 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>1 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>1 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>0 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>0 [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]=>2 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>1 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>2 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>2 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>2 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>1 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>1 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>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]=>1 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>1 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>1 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>2 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>1 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>1 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>1 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>1 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>0 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>0 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>1 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>1 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>1 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>0 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>0 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>1 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>1 [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]=>1 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>1 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>2 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>2 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>1 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>1 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>1 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>1 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>1 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>0 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>0 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>1 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>1 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>1 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>0 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>0 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>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]=>2 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>1 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>1 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>2 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>2 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>2 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>1 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>1 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>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]=>1 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>2 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>2 [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]=>2 [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]=>2 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>2 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>2 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>1 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>1 [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]=>1 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>1 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>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]=>3 [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]=>2 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>2 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>2 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>1 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>1 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>2 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>2 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>2 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>1 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>1 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>1 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>1 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>2 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>1 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>1 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>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]=>1 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>1 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>2 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>2 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>1 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>1 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>1 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>2 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>1 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>1 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>1 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>0 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>0 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>1 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>1 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>1 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>0 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>0 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>1 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>1 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>2 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>1 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>1 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>2 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>2 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>1 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>1 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>1 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>1 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>1 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>0 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>0 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>1 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>1 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>1 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>1 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>0 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>0 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>1 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>1 [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]=>1 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1 [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]=>1 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>1 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>2 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>2 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>1 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>1 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>2 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>2 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>3 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>2 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>2 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>2 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>2 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>1 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>1 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>2 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>2 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>2 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>1 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>1 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>1 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>2 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>1 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>1 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>2 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>2 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>1 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>1 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>1 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>1 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>1 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>0 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>0 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>1 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>1 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>1 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>1 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>0 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>0 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>1 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>1 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>2 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>2 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>1 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>1 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>2 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>2 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>2 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>1 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>1 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>1 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>1 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>0 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>1 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>1 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>1 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>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]=>0 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>0 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>1 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>0 [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]=>0 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>0 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>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]=>2 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>0 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>0 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>1 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>1 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>0 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>0 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>1 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>1 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>0 [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]=>0 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>0 [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]=>2 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>0 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>0 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>1 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>1 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>0 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>0 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>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]=>2 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>2 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>2 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>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]=>1 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>2 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>0 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>0 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>0 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>0 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1 [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]=>1 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>2 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>2 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>0 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>0 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>0 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>0 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>1 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>3 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>1 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>3 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>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]=>1 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>1 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>2 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>1 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>1 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>1 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>1 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>1 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>0 [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]=>0 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>0 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>0 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>1 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>0 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>0 [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]=>2 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>2 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>1 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>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]=>1 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>1 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>1 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>0 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>1 [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]=>1 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>1 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>1 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>1 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>1 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>1 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>0 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>0 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>1 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>1 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>1 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>0 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>0 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>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]=>2 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>1 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>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]=>1 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>2 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>2 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>3 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>2 [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]=>2 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>2 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>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]=>1 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>1 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>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]=>3 [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]=>2 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>1 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>1 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>2 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>2 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>1 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>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]=>1 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>0 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>0 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>0 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>1 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>1 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>1 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>0 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>0 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>1 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>1 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>0 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>0 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>1 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>1 [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]=>1 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1 [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]=>1 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>2 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>2 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>2 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>3 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>2 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>1 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>2 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>1 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>2 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>1 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>0 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>0 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>1 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>0 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>1 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>1 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>1 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>2 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>2 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>1 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>1 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>1 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>1 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>1 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>1 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>1 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>3 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>2 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>3 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>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]=>1 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>1 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>2 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>1 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>2 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>3 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>3 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>2 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>3 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>3 [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]=>2 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>3 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>3 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>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]=>1 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>1 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>2 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>1 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>3 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>2 [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]=>3 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>3 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>3 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>2 [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]=>3 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>3 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>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]=>3 [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]=>2 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>2 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>2 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>2 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>1 [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]=>3 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>2 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>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]=>2 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>2 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>2 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>2 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>2 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>2 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>2 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>2 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>2 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>2 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>1 [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]=>1 [1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0]=>1 [1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0]=>1 [1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>1 [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]=>0 [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]=>0 [1,1,0,1,0,1,0,1,0,1,1,1,0,0,0,0]=>0 [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]=>0 [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]=>1 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>1 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>2 [1,1,0,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [1,1,0,1,1,1,1,1,0,0,1,0,0,0,0,0]=>1 [1,1,0,1,1,1,1,1,0,1,0,0,0,0,0,0]=>0 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>0 [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]=>2 [1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0]=>2 [1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0]=>2 [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]=>1 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [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]=>1 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0]=>2 [1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0]=>1 [1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0]=>1 [1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>1 [1,1,1,0,1,0,1,0,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>0 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>0 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>2 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>2 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>1 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>2 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>1 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>1 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>1 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>1 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>1 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>0 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>0 [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]=>1 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>1 [1,1,1,1,0,0,1,0,1,0,1,0,1,0,0,0]=>1 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0]=>3 [1,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,0]=>1 [1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,0]=>1 [1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0]=>0 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>0 [1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0]=>1 [1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0]=>0 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>1 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>1 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>1 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>0 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>2 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>2 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>2 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>1 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>2 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>2 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>2 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>1 [1,1,1,1,1,0,1,0,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,1,0,1,0,1,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,0,1,0,1,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0]=>0 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>0 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,0,1,1,0,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0]=>1 [1,1,1,1,1,0,1,1,0,0,0,1,0,0,0,0]=>1 [1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0]=>1 [1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0]=>0 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,1,1,0,0,0,1,0,0,0,0,1,0]=>2 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>2 [1,1,1,1,1,1,0,0,0,1,0,1,0,0,0,0]=>1 [1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0]=>1 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0]=>2 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>2 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>2 [1,1,1,1,1,1,0,0,1,0,1,0,0,0,0,0]=>1 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,1,0,1,0,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,1,0,1,0,0,0,1,0,0,0,0]=>1 [1,1,1,1,1,1,0,1,0,0,1,0,0,0,0,0]=>1 [1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0]=>1 [1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0]=>1 [1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>2 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0]=>1 [1,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>2 [1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>2 [1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>2 [1,1,0,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>1 [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]=>0 [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]=>0 [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]=>1 [1,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>0 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>0 [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]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>0 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>2 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,0]=>1 [1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>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]=>1 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [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]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [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]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>1 [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]=>1 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0]=>1 [1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0]=>2 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>2 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>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]=>1 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [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]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0]=>1 [1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0]=>0 [1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0]=>0 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>1 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>1 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>1 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>3 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>1 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>2 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>2 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>2 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>3 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>1 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>2 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>2 [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]=>1 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>2 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>2 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>3 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>1 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>2 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>2 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>2 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>3 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>2 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>3 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>2 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>3 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>2 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>3 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>3 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>3 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>4 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,1,0]=>1 [1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0]=>0 [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]=>1 [1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0]=>0 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>0 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>0 [1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>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]=>0 [1,0,1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0]=>1 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0]=>1 [1,0,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0]=>1 [1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0]=>1 [1,0,1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0]=>1 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0]=>1 [1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0]=>2 [1,0,1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0]=>2 [1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>2 [1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0]=>1 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>2 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>4 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>1 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>2 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>2 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>2 [1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>3 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>2 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>3 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>2 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>2 [1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>3 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>3 [1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>3 [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>4 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>1 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>2 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>2 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>2 [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>2 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>3 [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]=>3 [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]=>1 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>2 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>2 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>2 [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]=>2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>3 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>3 [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]=>1 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>2 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>2 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>2 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>3 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>2 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>3 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>2 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>3 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>2 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>3 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>3 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>3 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>4 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>1 [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>2 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>2 [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>2 [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0]=>3 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>2 [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>3 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>2 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>3 [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0]=>2 [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]=>3 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>3 [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]=>3 [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]=>4 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>2 [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>3 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>3 [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>3 [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>4 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>2 [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>3 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>3 [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]=>2 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>3 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>3 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>3 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>4 [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>2 [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0]=>3 [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>3 [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]=>3 [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>3 [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>3 [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]=>3 [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>4 [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>4 [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]=>4 [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>5
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Description
The number of factors DDU in a Dyck path.
References
[1] Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n, having k ddu's [here u=(1,1) and d=(1,-1)]. OEIS:A091894
Code
def statistic(D):
    return len(list(Word([0,0,1]).factor_occurrences_in(Word(D))))
Created
Feb 10, 2016 at 14:31 by Martin Rubey
Updated
Jan 11, 2018 at 15:02 by Martin Rubey