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Identifier
Values
=>
Cc0005;cc-rep
[1,0,1,0]=>0 [1,1,0,0]=>1 [1,0,1,0,1,0]=>0 [1,0,1,1,0,0]=>1 [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]=>1 [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]=>2 [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]=>0 [1,1,1,0,0,1,0,0]=>0 [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]=>1 [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]=>2 [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]=>0 [1,0,1,1,1,0,0,1,0,0]=>0 [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]=>2 [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]=>0 [1,1,0,1,0,0,1,1,0,0]=>1 [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]=>0 [1,1,1,0,0,0,1,0,1,0]=>0 [1,1,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,0,1,0,0,1,0]=>0 [1,1,1,0,0,1,0,1,0,0]=>0 [1,1,1,0,0,1,1,0,0,0]=>0 [1,1,1,0,1,0,0,0,1,0]=>0 [1,1,1,0,1,0,0,1,0,0]=>0 [1,1,1,0,1,0,1,0,0,0]=>0 [1,1,1,0,1,1,0,0,0,0]=>0 [1,1,1,1,0,0,0,0,1,0]=>0 [1,1,1,1,0,0,0,1,0,0]=>0 [1,1,1,1,0,0,1,0,0,0]=>0 [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]=>1 [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]=>2 [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]=>0 [1,0,1,0,1,1,1,0,0,1,0,0]=>0 [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]=>2 [1,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,0]=>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]=>0 [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]=>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]=>0 [1,0,1,1,1,0,0,0,1,0,1,0]=>0 [1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,0,1,0]=>0 [1,0,1,1,1,0,0,1,0,1,0,0]=>0 [1,0,1,1,1,0,0,1,1,0,0,0]=>0 [1,0,1,1,1,0,1,0,0,0,1,0]=>0 [1,0,1,1,1,0,1,0,0,1,0,0]=>0 [1,0,1,1,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,0,1,1,0,0,0,0]=>0 [1,0,1,1,1,1,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,0,0,0,1,0,0]=>0 [1,0,1,1,1,1,0,0,1,0,0,0]=>0 [1,0,1,1,1,1,0,1,0,0,0,0]=>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]=>2 [1,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,1,0,0]=>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]=>3 [1,1,0,0,1,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,0]=>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]=>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]=>1 [1,1,0,1,0,0,1,1,0,0,1,0]=>1 [1,1,0,1,0,0,1,1,0,1,0,0]=>0 [1,1,0,1,0,0,1,1,1,0,0,0]=>0 [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]=>1 [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]=>0 [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]=>1 [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]=>0 [1,1,0,1,1,1,0,0,0,1,0,0]=>0 [1,1,0,1,1,1,0,0,1,0,0,0]=>0 [1,1,0,1,1,1,0,1,0,0,0,0]=>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]=>0 [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]=>0 [1,1,1,0,0,0,1,1,1,0,0,0]=>0 [1,1,1,0,0,1,0,0,1,0,1,0]=>0 [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]=>0 [1,1,1,0,0,1,0,1,0,1,0,0]=>0 [1,1,1,0,0,1,0,1,1,0,0,0]=>0 [1,1,1,0,0,1,1,0,0,0,1,0]=>0 [1,1,1,0,0,1,1,0,0,1,0,0]=>0 [1,1,1,0,0,1,1,0,1,0,0,0]=>0 [1,1,1,0,0,1,1,1,0,0,0,0]=>0 [1,1,1,0,1,0,0,0,1,0,1,0]=>0 [1,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,1,0,0,1,0,0,1,0]=>0 [1,1,1,0,1,0,0,1,0,1,0,0]=>0 [1,1,1,0,1,0,0,1,1,0,0,0]=>0 [1,1,1,0,1,0,1,0,0,0,1,0]=>0 [1,1,1,0,1,0,1,0,0,1,0,0]=>0 [1,1,1,0,1,0,1,0,1,0,0,0]=>0 [1,1,1,0,1,0,1,1,0,0,0,0]=>0 [1,1,1,0,1,1,0,0,0,0,1,0]=>0 [1,1,1,0,1,1,0,0,0,1,0,0]=>0 [1,1,1,0,1,1,0,0,1,0,0,0]=>0 [1,1,1,0,1,1,0,1,0,0,0,0]=>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]=>0 [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]=>0 [1,1,1,1,0,0,0,1,0,1,0,0]=>0 [1,1,1,1,0,0,0,1,1,0,0,0]=>0 [1,1,1,1,0,0,1,0,0,0,1,0]=>0 [1,1,1,1,0,0,1,0,0,1,0,0]=>0 [1,1,1,1,0,0,1,0,1,0,0,0]=>0 [1,1,1,1,0,0,1,1,0,0,0,0]=>0 [1,1,1,1,0,1,0,0,0,0,1,0]=>0 [1,1,1,1,0,1,0,0,0,1,0,0]=>0 [1,1,1,1,0,1,0,0,1,0,0,0]=>0 [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]=>0 [1,1,1,1,1,0,0,0,0,1,0,0]=>0 [1,1,1,1,1,0,0,0,1,0,0,0]=>0 [1,1,1,1,1,0,0,1,0,0,0,0]=>0 [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]=>1 [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]=>2 [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]=>0 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>0 [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]=>2 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>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]=>0 [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]=>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]=>0 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>0 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>0 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>0 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>0 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>0 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>0 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>0 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>0 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>0 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>0 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>0 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>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]=>2 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>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]=>3 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>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]=>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]=>1 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>0 [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]=>1 [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]=>0 [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]=>1 [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]=>0 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>0 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>0 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>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]=>0 [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]=>0 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>0 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>0 [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]=>0 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>0 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>0 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>0 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>0 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>0 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>0 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>0 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>0 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>0 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>0 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>0 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>0 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>0 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>0 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>0 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>0 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>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]=>0 [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]=>0 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>0 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>0 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>0 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>0 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>0 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>0 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>0 [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]=>0 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>0 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>0 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>0 [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]=>2 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>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]=>3 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>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]=>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]=>2 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>3 [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]=>1 [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]=>1 [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]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>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]=>1 [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]=>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]=>1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>0 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>0 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>1 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>2 [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]=>0 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>0 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>0 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>0 [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]=>1 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>1 [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]=>0 [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]=>1 [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]=>0 [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]=>1 [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]=>0 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>0 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>0 [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]=>0 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>1 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>1 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>0 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>0 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>0 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>1 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>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]=>0 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>0 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>1 [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]=>0 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>0 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>1 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>0 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>0 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>0 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>0 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>0 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>0 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>0 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>0 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>0 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>0 [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]=>0 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>0 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>0 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>0 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>0 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>0 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>0 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>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]=>0 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>0 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>1 [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]=>0 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>0 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>0 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>0 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>0 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>0 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>0 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>0 [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]=>0 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>0 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>0 [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]=>0 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>0 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>0 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>0 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>0 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>0 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>0 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>0 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>0 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>0 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>0 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>0 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>0 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>0 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>0 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>0 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>0 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>0 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>0 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>0 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>0 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>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]=>0 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>0 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>0 [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]=>0 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>0 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>0 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>0 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>0 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>0 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>0 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>0 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>0 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>0 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>0 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>0 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>0 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>0 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>0 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>0 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>0 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>0 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>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]=>0 [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]=>0 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>0 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>0 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>0 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>0 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>0 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>0 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>0 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>0 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>0 [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]=>0 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>0 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>0 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>0 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>0 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>0 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>0 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>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]=>0 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>0 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>0 [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]=>0 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>0 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>0 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>0 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>0 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>0 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>0 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>0 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>1 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>0 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>0 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>0 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>0 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>0 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>0 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>0 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>0 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>0 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>0 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>0 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>0 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>0 [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]=>0 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>0 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>0 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>0 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>0 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>0 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>0 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>0 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>0 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>0 [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]=>0 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>0 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>0 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>0 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>0 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>0 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>0 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>0 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>0 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>0 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>0 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>0 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>0 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>0 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>0 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>0 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>0 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>0 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>0 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>0 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>0 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>0 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>0 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>0 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>0 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>0 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>0 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>0 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>0 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>0 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>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]=>1 [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]=>2 [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]=>0 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>0 [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]=>2 [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]=>0 [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]=>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]=>0 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>0 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>0 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>0 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>0 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>0 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>0 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>0 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>0 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>0 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>0 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>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]=>2 [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]=>3 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>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]=>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]=>1 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>0 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>0 [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]=>1 [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]=>0 [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]=>1 [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]=>0 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>0 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>0 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>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]=>0 [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]=>0 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>0 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>0 [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]=>0 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>0 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>0 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>0 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>0 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>0 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>0 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>0 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>0 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>0 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>0 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>0 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>0 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>0 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>0 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>0 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>0 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>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]=>0 [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]=>0 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>0 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>0 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>0 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>0 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>0 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>0 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>0 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>0 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>0 [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]=>0 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>0 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>0 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>0 [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]=>2 [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]=>3 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>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]=>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]=>2 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>3 [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]=>1 [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]=>1 [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]=>1 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>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]=>1 [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]=>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]=>1 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>0 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>2 [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]=>0 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>0 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>0 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>0 [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]=>1 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>1 [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]=>0 [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]=>1 [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]=>0 [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]=>1 [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]=>0 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>0 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>0 [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]=>0 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>0 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>0 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>0 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>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]=>0 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>0 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>1 [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]=>0 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>0 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>0 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>0 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>0 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>0 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>0 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>0 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>0 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>0 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>0 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>0 [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]=>0 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>0 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>0 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>0 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>0 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>0 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>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]=>0 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>0 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>1 [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]=>0 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>0 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>0 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>0 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>0 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>0 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>0 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>0 [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]=>0 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>0 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>0 [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]=>0 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>0 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>0 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>0 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>0 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>0 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>0 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>0 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>0 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>0 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>0 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>0 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>0 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>0 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>0 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>0 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>0 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>0 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>0 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>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]=>0 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>0 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>0 [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]=>0 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>0 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>0 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>0 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>0 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>0 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>0 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>0 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>0 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>0 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>0 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>0 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>0 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>0 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>0 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>0 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>0 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>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]=>0 [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]=>0 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>0 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>0 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>0 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>0 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>0 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>0 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>0 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>0 [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]=>0 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>0 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>0 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>0 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>0 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>0 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>0 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>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]=>0 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>0 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>0 [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]=>0 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>0 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>0 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>0 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>0 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>0 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>0 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>0 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>0 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>0 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>0 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>0 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>0 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>0 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>0 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>0 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>0 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>0 [1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>0 [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]=>0 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>0 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>0 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>0 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>0 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>0 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>0 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>0 [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]=>0 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>0 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>0 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>0 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>0 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>0 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>0 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>0 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>0 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>0 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>0 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>0 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>0 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>0 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>0 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>0 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>0 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>0 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>0 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>0 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>0 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>0 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>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]=>2 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>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]=>3 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>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]=>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]=>2 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [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]=>1 [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]=>1 [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]=>1 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>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]=>1 [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]=>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]=>2 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [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]=>4 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>2 [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]=>2 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>2 [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]=>1 [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]=>2 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>1 [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]=>1 [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]=>1 [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]=>1 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>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]=>1 [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]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>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]=>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]=>2 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>2 [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]=>1 [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]=>2 [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]=>1 [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]=>2 [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]=>1 [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]=>2 [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]=>1 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>0 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>0 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>2 [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]=>0 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>0 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>0 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>0 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>1
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Description
The number of occurrences of hills of size 2 in a Dyck path.
A hill of size two is a subpath beginning at height zero, consisting of two up steps followed by two down steps.
Code
def statistic(D):
    return list(D.touch_composition()).count(2)
Created
Apr 09, 2018 at 14:32 by Martin Rubey
Updated
Apr 09, 2018 at 14:32 by Martin Rubey