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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]=>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]=>1 [1,1,1,1,0,0,0,0]=>1 [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]=>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]=>1 [1,0,1,1,1,1,0,0,0,0]=>1 [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]=>0 [1,1,0,1,1,0,0,0,1,0]=>0 [1,1,0,1,1,0,0,1,0,0]=>0 [1,1,0,1,1,0,1,0,0,0]=>0 [1,1,0,1,1,1,0,0,0,0]=>1 [1,1,1,0,0,0,1,0,1,0]=>1 [1,1,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,0,1,0,0,1,0]=>1 [1,1,1,0,0,1,0,1,0,0]=>1 [1,1,1,0,0,1,1,0,0,0]=>1 [1,1,1,0,1,0,0,0,1,0]=>1 [1,1,1,0,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,1,0,0,0]=>1 [1,1,1,0,1,1,0,0,0,0]=>1 [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]=>1 [1,1,1,1,1,0,0,0,0,0]=>1 [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]=>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]=>1 [1,0,1,0,1,1,1,1,0,0,0,0]=>1 [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]=>0 [1,0,1,1,0,1,1,0,0,0,1,0]=>0 [1,0,1,1,0,1,1,0,0,1,0,0]=>0 [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]=>1 [1,0,1,1,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,0]=>1 [1,0,1,1,1,0,1,1,0,0,0,0]=>1 [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]=>1 [1,0,1,1,1,1,1,0,0,0,0,0]=>1 [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]=>0 [1,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,0]=>1 [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]=>0 [1,1,0,1,0,1,1,0,0,0,1,0]=>0 [1,1,0,1,0,1,1,0,0,1,0,0]=>0 [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]=>1 [1,1,0,1,1,0,0,0,1,0,1,0]=>0 [1,1,0,1,1,0,0,0,1,1,0,0]=>0 [1,1,0,1,1,0,0,1,0,0,1,0]=>0 [1,1,0,1,1,0,0,1,0,1,0,0]=>0 [1,1,0,1,1,0,0,1,1,0,0,0]=>0 [1,1,0,1,1,0,1,0,0,0,1,0]=>0 [1,1,0,1,1,0,1,0,0,1,0,0]=>0 [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]=>1 [1,1,0,1,1,1,1,0,0,0,0,0]=>1 [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]=>1 [1,1,1,0,0,1,1,0,0,0,1,0]=>1 [1,1,1,0,0,1,1,0,0,1,0,0]=>1 [1,1,1,0,0,1,1,0,1,0,0,0]=>1 [1,1,1,0,0,1,1,1,0,0,0,0]=>2 [1,1,1,0,1,0,0,0,1,0,1,0]=>1 [1,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,1,0,0,1,0,0,1,0]=>1 [1,1,1,0,1,0,0,1,0,1,0,0]=>1 [1,1,1,0,1,0,0,1,1,0,0,0]=>1 [1,1,1,0,1,0,1,0,0,0,1,0]=>1 [1,1,1,0,1,0,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,1,0,1,0,0,0]=>1 [1,1,1,0,1,0,1,1,0,0,0,0]=>1 [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]=>1 [1,1,1,0,1,1,1,0,0,0,0,0]=>2 [1,1,1,1,0,0,0,0,1,0,1,0]=>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]=>1 [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]=>1 [1,1,1,1,0,0,1,0,0,1,0,0]=>1 [1,1,1,1,0,0,1,0,1,0,0,0]=>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]=>1 [1,1,1,1,0,1,1,0,0,0,0,0]=>1 [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]=>1 [1,1,1,1,1,1,0,0,0,0,0,0]=>1 [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]=>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]=>1 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [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]=>0 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>0 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>0 [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]=>1 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>1 [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]=>1 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [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]=>0 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1 [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]=>0 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>0 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>0 [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]=>1 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>0 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>0 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>0 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>0 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>0 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>0 [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]=>1 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>1 [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]=>1 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>1 [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]=>1 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>2 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>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]=>1 [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]=>1 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>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]=>1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>1 [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]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [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]=>0 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1 [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]=>0 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>0 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>0 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>0 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>1 [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]=>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]=>0 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>1 [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]=>0 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>0 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>0 [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]=>1 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>0 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>0 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>0 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>0 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>0 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>0 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>0 [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]=>1 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>1 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>0 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>0 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>0 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>0 [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]=>0 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>0 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>0 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>0 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>0 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>0 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>0 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>0 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>1 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>0 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>0 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>0 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>0 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>0 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>0 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>0 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>0 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>0 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>0 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>0 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>0 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>0 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>1 [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]=>1 [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]=>1 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>1 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>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]=>1 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>1 [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]=>1 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>1 [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]=>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]=>2 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>2 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>1 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>1 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>1 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>1 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>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]=>1 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>1 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>1 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>1 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>2 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>1 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>1 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>1 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>1 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>1 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>1 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>1 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>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]=>2 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>2 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>1 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>1 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>1 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>1 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>2 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>1 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>1 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>1 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>1 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>1 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>1 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>1 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>2 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>1 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>1 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>1 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>1 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>1 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>1 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>1 [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]=>1 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>2 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>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]=>1 [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]=>1 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>1 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>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]=>1 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>1 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>2 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>2 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>2 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>2 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>2 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>2 [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]=>1 [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]=>2 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>1 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>1 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>1 [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]=>1 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>1 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>1 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>2 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>1 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>1 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>1 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>1 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>1 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>1 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>1 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>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]=>1 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>1 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>1 [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]=>2 [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]=>1 [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]=>1 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>1 [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]=>1 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>1 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>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]=>1 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>2 [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]=>1 [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]=>1 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>1 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>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]=>1 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>1 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>1 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>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]=>1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>1 [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]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>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]=>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]=>1 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [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]=>0 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>0 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>0 [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]=>1 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>1 [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]=>1 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [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]=>0 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1 [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]=>0 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>0 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>0 [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]=>1 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>0 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>0 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>0 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>0 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>0 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>0 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>0 [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]=>1 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>1 [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]=>1 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>2 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>1 [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]=>1 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>2 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>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]=>1 [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]=>1 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>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]=>1 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>1 [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]=>1 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [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]=>0 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1 [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]=>0 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>0 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>0 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>0 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>1 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>1 [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]=>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]=>0 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>1 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>1 [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]=>0 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>0 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>0 [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]=>1 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>0 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>0 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>0 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>0 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>0 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>0 [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]=>1 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>1 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>0 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>0 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>0 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>0 [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]=>0 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>0 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>0 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>0 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>0 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>0 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>0 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>0 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>1 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>0 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>0 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>0 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>0 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>0 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>0 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>0 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>0 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>1 [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]=>1 [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]=>1 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>1 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>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]=>1 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>1 [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]=>1 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>1 [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]=>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]=>2 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>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]=>1 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>1 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>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]=>2 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>2 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>2 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>1 [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]=>1 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>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]=>1 [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]=>1 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>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]=>1 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>1 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>2 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>2 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>2 [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]=>1 [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]=>2 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>1 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>1 [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]=>1 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>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]=>1 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>1 [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]=>2 [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]=>1 [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]=>1 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>1 [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]=>1 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>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]=>1 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>2 [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]=>1 [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]=>1 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>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]=>1 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>1 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>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]=>1 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>1 [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]=>1 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>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]=>0 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>1 [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]=>0 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>0 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>0 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>0 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0]=>1 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>1 [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]=>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]=>0 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>1 [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]=>0 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>0 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>0 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>0 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>0 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>0 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>0 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>0 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>0 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>0 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>0 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>0 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>0 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>1 [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]=>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]=>1 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>1 [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]=>2 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>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]=>1 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>1 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>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]=>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]=>0 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>1 [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]=>0 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>1 [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]=>0 [1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0]=>0 [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]=>1 [1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0]=>0 [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]=>0 [1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0]=>0 [1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0]=>0 [1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0]=>0 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>0 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>0 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>1 [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]=>1 [1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [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]=>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]=>1 [1,1,1,0,1,0,0,0,1,1,0,0,1,1,0,0]=>1 [1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0]=>2 [1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0]=>2 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0]=>1 [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]=>1 [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]=>1 [1,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0]=>1 [1,1,1,0,1,1,0,0,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,0]=>1 [1,1,1,0,1,1,0,0,1,1,1,0,0,0,0,0]=>2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0]=>1 [1,1,1,0,1,1,1,0,0,0,0,0,1,1,0,0]=>2 [1,1,1,0,1,1,1,0,0,1,0,1,0,0,0,0]=>2 [1,1,1,0,1,1,1,0,0,1,1,0,0,0,0,0]=>2 [1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [1,1,1,0,1,1,1,1,0,0,0,0,1,0,0,0]=>2 [1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,0]=>2 [1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0]=>2 [1,1,1,0,1,1,1,1,0,1,0,0,0,0,0,0]=>2 [1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0]=>2 [1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0]=>1 [1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0]=>2 [1,1,1,1,0,0,0,0,1,1,1,1,0,0,0,0]=>2 [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]=>1 [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]=>1 [1,1,1,1,0,1,0,1,1,1,0,0,0,0,0,0]=>2 [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]=>1 [1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0]=>2 [1,1,1,1,0,1,1,1,0,0,0,0,0,1,0,0]=>2 [1,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0]=>2 [1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,0]=>2 [1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0]=>2 [1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,0]=>2 [1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,0]=>1 [1,1,1,1,1,0,0,0,1,1,0,0,0,0,1,0]=>1 [1,1,1,1,1,0,0,0,1,1,0,0,1,0,0,0]=>1 [1,1,1,1,1,0,0,0,1,1,1,0,0,0,0,0]=>2 [1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,1,0,0,1,1,0,0,0,0,0,1,0]=>1 [1,1,1,1,1,0,0,1,1,0,0,0,1,0,0,0]=>1 [1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0]=>2 [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]=>1 [1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0]=>1 [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]=>1 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0]=>2 [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]=>1 [1,1,1,1,1,1,0,0,0,1,0,0,0,1,0,0]=>1 [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]=>1 [1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0]=>1 [1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0]=>1 [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]=>1 [1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0]=>1 [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]=>1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,1,1,0,1,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,1,0]=>1 [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]=>1 [1,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0]=>2 [1,1,1,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0]=>1 [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]=>1 [1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,0,0]=>1 [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]=>1 [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]=>0 [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]=>0 [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]=>1 [1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>1 [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]=>1 [1,1,1,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0]=>2 [1,1,1,1,1,0,1,1,1,0,1,0,0,0,0,0,0,0]=>2 [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]=>1 [1,1,1,1,1,1,1,0,0,1,0,0,0,0,0,1,0,0]=>1 [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]=>1 [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]=>1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>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]=>1 [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]=>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]=>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]=>1 [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]=>0 [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]=>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]=>1 [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]=>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]=>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]=>1 [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]=>1 [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]=>1 [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]=>1 [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]=>1 [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]=>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]=>1 [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]=>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]=>0 [1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0]=>1 [1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0]=>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]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>1 [1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>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]=>1 [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]=>1 [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]=>1 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>1 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>0 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>1 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>1 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>1 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>1 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>0 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>1 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>2 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>0 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>1 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>1 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>1 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>1 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>0 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>1 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>1 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>1 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>1 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>1 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>2 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>1 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>1 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>1 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>2 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>1 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>1 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>1 [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]=>1 [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]=>1 [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]=>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]=>1 [1,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0]=>1 [1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0]=>1 [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]=>1 [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]=>1 [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]=>1 [1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0]=>1 [1,0,1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0]=>1 [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]=>2 [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]=>1 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0]=>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]=>1 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>1 [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]=>2 [1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0]=>1 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0]=>0 [1,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0]=>1 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0]=>1 [1,1,0,1,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0]=>1 [1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0]=>1 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0]=>1 [1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0]=>2 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0]=>1 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0]=>1 [1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0]=>1 [1,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0]=>2 [1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0]=>1 [1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0]=>1 [1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0]=>1 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>0 [1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>1 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>1 [1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>1 [1,1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>1 [1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>2 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>2 [1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>2 [1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>2 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,0]=>0 [1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>1 [1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>2 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0]=>1 [1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0]=>2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>1 [1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>2 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0]=>1 [1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0]=>2 [1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0]=>0 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0]=>1 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>1 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0]=>1 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>1 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0]=>1 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0]=>2 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>1 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0]=>1 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1,0,0]=>1 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>2 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0]=>1 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>1 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0]=>1 [1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,1,0]=>0 [1,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,0]=>1 [1,1,0,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0]=>1 [1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0]=>1 [1,1,0,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0]=>1 [1,1,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>1 [1,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>2 [1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0]=>1 [1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>1 [1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0]=>1 [1,1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0]=>2 [1,1,0,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>1 [1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0]=>1 [1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0]=>1 [1,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0]=>1 [1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0]=>2 [1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0]=>2 [1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0]=>2 [1,1,1,0,1,0,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0]=>2 [1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>1 [1,1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>2 [1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0]=>1 [1,1,1,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0]=>2 [1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0]=>1 [1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>2 [1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0]=>1 [1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>1 [1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0]=>1 [1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,0]=>1 [1,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0]=>2 [1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>2 [1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0]=>2 [1,1,1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0]=>2 [1,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0]=>1 [1,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0]=>2 [1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>1 [1,1,1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0]=>1 [1,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,0]=>1 [1,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0]=>2 [1,1,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0]=>1 [1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0]=>1 [1,1,1,1,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1,0]=>1
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Description
The number of rises of length at least 3 of a Dyck path.
The number of Dyck paths without such rises are counted by the Motzkin numbers [1].
References
[1] Catalan number A000108(n) minus Motzkin number A001006(n). OEIS:A153008
[2] Mare Number of certain Dyck paths MathOverflow:256019
Code
def statistic(D):
    return sum( 1 for i in D.rise_composition() if i >= 3 )
Created
Nov 30, 2016 at 20:07 by Christian Stump
Updated
Apr 01, 2018 at 21:35 by Martin Rubey