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Identifier
Values
=>
Cc0005;cc-rep
[1,0]=>1 [1,0,1,0]=>2 [1,1,0,0]=>2 [1,0,1,0,1,0]=>3 [1,0,1,1,0,0]=>3 [1,1,0,0,1,0]=>3 [1,1,0,1,0,0]=>2 [1,1,1,0,0,0]=>2 [1,0,1,0,1,0,1,0]=>4 [1,0,1,0,1,1,0,0]=>4 [1,0,1,1,0,0,1,0]=>4 [1,0,1,1,0,1,0,0]=>3 [1,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,0]=>4 [1,1,0,0,1,1,0,0]=>3 [1,1,0,1,0,0,1,0]=>3 [1,1,0,1,0,1,0,0]=>3 [1,1,0,1,1,0,0,0]=>3 [1,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,0,0]=>2 [1,1,1,1,0,0,0,0]=>2 [1,0,1,0,1,0,1,0,1,0]=>5 [1,0,1,0,1,0,1,1,0,0]=>5 [1,0,1,0,1,1,0,0,1,0]=>5 [1,0,1,0,1,1,0,1,0,0]=>4 [1,0,1,0,1,1,1,0,0,0]=>4 [1,0,1,1,0,0,1,0,1,0]=>5 [1,0,1,1,0,0,1,1,0,0]=>4 [1,0,1,1,0,1,0,0,1,0]=>4 [1,0,1,1,0,1,0,1,0,0]=>4 [1,0,1,1,0,1,1,0,0,0]=>4 [1,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,1,1,0,0,1,0,0]=>4 [1,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,1,1,1,0,0,0,0]=>3 [1,1,0,0,1,0,1,0,1,0]=>5 [1,1,0,0,1,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,0,1,0]=>4 [1,1,0,0,1,1,0,1,0,0]=>4 [1,1,0,0,1,1,1,0,0,0]=>3 [1,1,0,1,0,0,1,0,1,0]=>4 [1,1,0,1,0,0,1,1,0,0]=>4 [1,1,0,1,0,1,0,0,1,0]=>4 [1,1,0,1,0,1,0,1,0,0]=>4 [1,1,0,1,0,1,1,0,0,0]=>4 [1,1,0,1,1,0,0,0,1,0]=>4 [1,1,0,1,1,0,0,1,0,0]=>3 [1,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,1,1,0,0,0,0]=>3 [1,1,1,0,0,0,1,0,1,0]=>4 [1,1,1,0,0,0,1,1,0,0]=>3 [1,1,1,0,0,1,0,0,1,0]=>4 [1,1,1,0,0,1,0,1,0,0]=>4 [1,1,1,0,0,1,1,0,0,0]=>3 [1,1,1,0,1,0,0,0,1,0]=>3 [1,1,1,0,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,1,0,0,0]=>3 [1,1,1,0,1,1,0,0,0,0]=>3 [1,1,1,1,0,0,0,0,1,0]=>3 [1,1,1,1,0,0,0,1,0,0]=>3 [1,1,1,1,0,0,1,0,0,0]=>3 [1,1,1,1,0,1,0,0,0,0]=>2 [1,1,1,1,1,0,0,0,0,0]=>2 [1,0,1,0,1,0,1,0,1,0,1,0]=>6 [1,0,1,0,1,0,1,0,1,1,0,0]=>6 [1,0,1,0,1,0,1,1,0,0,1,0]=>6 [1,0,1,0,1,0,1,1,0,1,0,0]=>5 [1,0,1,0,1,0,1,1,1,0,0,0]=>5 [1,0,1,0,1,1,0,0,1,0,1,0]=>6 [1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,0,1,0,1,1,0,1,0,0,1,0]=>5 [1,0,1,0,1,1,0,1,0,1,0,0]=>5 [1,0,1,0,1,1,0,1,1,0,0,0]=>5 [1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,0,1,0,1,1,1,0,0,1,0,0]=>5 [1,0,1,0,1,1,1,0,1,0,0,0]=>4 [1,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,1,0,0,1,0,1,0,1,0]=>6 [1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,0,1,1,0,0,1,1,0,1,0,0]=>5 [1,0,1,1,0,0,1,1,1,0,0,0]=>4 [1,0,1,1,0,1,0,0,1,0,1,0]=>5 [1,0,1,1,0,1,0,0,1,1,0,0]=>5 [1,0,1,1,0,1,0,1,0,0,1,0]=>5 [1,0,1,1,0,1,0,1,0,1,0,0]=>5 [1,0,1,1,0,1,0,1,1,0,0,0]=>5 [1,0,1,1,0,1,1,0,0,0,1,0]=>5 [1,0,1,1,0,1,1,0,0,1,0,0]=>4 [1,0,1,1,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,1,0,0,1,0,0,1,0]=>5 [1,0,1,1,1,0,0,1,0,1,0,0]=>5 [1,0,1,1,1,0,0,1,1,0,0,0]=>4 [1,0,1,1,1,0,1,0,0,0,1,0]=>4 [1,0,1,1,1,0,1,0,0,1,0,0]=>4 [1,0,1,1,1,0,1,0,1,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,0,0,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,0]=>3 [1,0,1,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,1,0,0,1,0,1,0,1,0,1,0]=>6 [1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,1,0,0,1,0,1,1,0,0,1,0]=>5 [1,1,0,0,1,0,1,1,0,1,0,0]=>5 [1,1,0,0,1,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,1,0,0,1,0,1,0]=>5 [1,1,0,0,1,1,0,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,1,0,0,1,0]=>5 [1,1,0,0,1,1,0,1,0,1,0,0]=>5 [1,1,0,0,1,1,0,1,1,0,0,0]=>4 [1,1,0,0,1,1,1,0,0,0,1,0]=>3 [1,1,0,0,1,1,1,0,0,1,0,0]=>4 [1,1,0,0,1,1,1,0,1,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,1,0,1,0,0,1,0,1,0,1,0]=>5 [1,1,0,1,0,0,1,0,1,1,0,0]=>5 [1,1,0,1,0,0,1,1,0,0,1,0]=>5 [1,1,0,1,0,0,1,1,0,1,0,0]=>4 [1,1,0,1,0,0,1,1,1,0,0,0]=>4 [1,1,0,1,0,1,0,0,1,0,1,0]=>5 [1,1,0,1,0,1,0,0,1,1,0,0]=>5 [1,1,0,1,0,1,0,1,0,0,1,0]=>5 [1,1,0,1,0,1,0,1,0,1,0,0]=>4 [1,1,0,1,0,1,0,1,1,0,0,0]=>4 [1,1,0,1,0,1,1,0,0,0,1,0]=>5 [1,1,0,1,0,1,1,0,0,1,0,0]=>4 [1,1,0,1,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,0,0,0]=>4 [1,1,0,1,1,0,0,0,1,0,1,0]=>5 [1,1,0,1,1,0,0,0,1,1,0,0]=>4 [1,1,0,1,1,0,0,1,0,0,1,0]=>4 [1,1,0,1,1,0,0,1,0,1,0,0]=>4 [1,1,0,1,1,0,0,1,1,0,0,0]=>4 [1,1,0,1,1,0,1,0,0,0,1,0]=>4 [1,1,0,1,1,0,1,0,0,1,0,0]=>4 [1,1,0,1,1,0,1,0,1,0,0,0]=>4 [1,1,0,1,1,0,1,1,0,0,0,0]=>4 [1,1,0,1,1,1,0,0,0,0,1,0]=>3 [1,1,0,1,1,1,0,0,0,1,0,0]=>4 [1,1,0,1,1,1,0,0,1,0,0,0]=>3 [1,1,0,1,1,1,0,1,0,0,0,0]=>3 [1,1,0,1,1,1,1,0,0,0,0,0]=>3 [1,1,1,0,0,0,1,0,1,0,1,0]=>5 [1,1,1,0,0,0,1,0,1,1,0,0]=>4 [1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,1,1,0,0,0,1,1,0,1,0,0]=>4 [1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,1,1,0,0,1,0,0,1,0,1,0]=>5 [1,1,1,0,0,1,0,0,1,1,0,0]=>4 [1,1,1,0,0,1,0,1,0,0,1,0]=>5 [1,1,1,0,0,1,0,1,0,1,0,0]=>4 [1,1,1,0,0,1,0,1,1,0,0,0]=>4 [1,1,1,0,0,1,1,0,0,0,1,0]=>4 [1,1,1,0,0,1,1,0,0,1,0,0]=>4 [1,1,1,0,0,1,1,0,1,0,0,0]=>4 [1,1,1,0,0,1,1,1,0,0,0,0]=>3 [1,1,1,0,1,0,0,0,1,0,1,0]=>4 [1,1,1,0,1,0,0,0,1,1,0,0]=>4 [1,1,1,0,1,0,0,1,0,0,1,0]=>4 [1,1,1,0,1,0,0,1,0,1,0,0]=>4 [1,1,1,0,1,0,0,1,1,0,0,0]=>4 [1,1,1,0,1,0,1,0,0,0,1,0]=>4 [1,1,1,0,1,0,1,0,0,1,0,0]=>4 [1,1,1,0,1,0,1,0,1,0,0,0]=>4 [1,1,1,0,1,0,1,1,0,0,0,0]=>4 [1,1,1,0,1,1,0,0,0,0,1,0]=>4 [1,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,1,1,0,1,1,0,0,1,0,0,0]=>3 [1,1,1,0,1,1,0,1,0,0,0,0]=>3 [1,1,1,0,1,1,1,0,0,0,0,0]=>3 [1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,1,1,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,1,1,1,0,0,1,0,0,0,1,0]=>4 [1,1,1,1,0,0,1,0,0,1,0,0]=>4 [1,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,1,1,1,0,0,1,1,0,0,0,0]=>3 [1,1,1,1,0,1,0,0,0,0,1,0]=>3 [1,1,1,1,0,1,0,0,0,1,0,0]=>3 [1,1,1,1,0,1,0,0,1,0,0,0]=>3 [1,1,1,1,0,1,0,1,0,0,0,0]=>3 [1,1,1,1,0,1,1,0,0,0,0,0]=>3 [1,1,1,1,1,0,0,0,0,0,1,0]=>3 [1,1,1,1,1,0,0,0,0,1,0,0]=>3 [1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,1,1,1,1,0,0,1,0,0,0,0]=>3 [1,1,1,1,1,0,1,0,0,0,0,0]=>2 [1,1,1,1,1,1,0,0,0,0,0,0]=>2 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>7 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>7 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>7 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>6 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>6 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>7 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>6 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>6 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>6 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>6 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>5 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>6 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>5 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>5 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>7 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>6 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>5 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>6 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>6 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>6 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>6 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>6 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>6 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>6 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>5 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>5 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>5 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>4 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>6 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>6 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>5 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>5 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>5 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>5 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>5 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>4 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>5 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>4 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>7 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>6 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>5 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>6 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>5 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>4 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>6 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>6 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>5 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>4 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>5 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>4 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>6 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>6 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>6 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>5 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>5 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>6 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>6 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>6 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>5 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>6 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>5 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>6 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>5 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>5 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>5 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>5 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>5 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>5 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>4 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>5 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>4 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>5 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>4 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>4 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>6 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>5 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>6 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>5 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>5 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>4 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>5 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>5 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>5 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>5 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>5 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>5 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>5 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>5 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>5 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>5 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>5 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>4 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>3 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>3 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>3 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>3 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>7 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>6 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>6 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>6 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>5 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>6 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>6 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>6 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>5 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>5 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>5 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>6 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>5 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>6 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>5 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>6 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>5 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>5 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>5 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>5 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>5 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>5 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>5 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>4 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>5 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>5 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>5 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>3 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>3 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>6 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>6 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>5 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>5 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>5 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>5 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>5 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>4 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>4 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>6 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>6 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>6 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>5 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>5 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>6 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>5 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>5 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>5 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>5 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>5 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>4 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>6 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>5 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>5 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>5 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>5 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>5 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>5 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>4 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>4 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>5 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>4 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>6 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>5 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>4 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>5 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>5 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>5 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>5 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>5 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>5 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>4 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>4 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>5 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>5 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>5 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>5 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>5 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>5 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>4 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>4 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>4 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>5 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>4 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>4 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>5 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>5 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>4 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>4 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>4 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>4 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>4 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>4 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>3 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>3 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>4 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>3 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>3 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>3 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>6 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>5 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>5 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>5 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>4 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>5 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>5 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>5 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>4 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>4 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>4 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>6 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>5 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>5 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>5 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>4 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>6 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>5 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>5 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>5 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>4 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>5 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>5 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>4 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>4 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>5 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>4 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>5 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>5 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>4 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>5 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>5 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>4 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>4 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>3 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>4 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>4 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>4 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>3 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>5 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>5 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>5 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>4 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>4 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>5 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>5 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>5 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>4 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>4 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>5 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>4 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>4 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>4 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>5 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>5 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>5 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>4 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>4 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>5 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>4 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>4 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>4 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>5 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>4 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>4 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>4 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>4 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>5 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>4 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>4 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>4 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>4 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>4 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>4 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>4 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>4 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>4 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>4 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>4 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>3 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>4 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>3 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>3 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>3 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>3 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>5 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>4 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>4 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>5 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>4 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>5 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>4 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>4 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>4 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>4 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>4 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>3 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>5 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>4 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>5 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>4 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>4 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>5 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>4 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>4 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>4 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>4 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>4 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>4 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>4 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>3 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>4 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>4 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>4 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>4 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>4 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>4 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>4 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>4 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>4 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>4 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>4 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>3 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>3 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>3 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>3 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>3 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>4 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>3 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>4 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>4 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>3 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>4 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>4 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>4 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>3 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>4 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>4 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>4 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>4 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>3 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>3 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>3 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>3 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>3 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>3 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>3 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>3 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>3 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>3 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>3 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>3 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>2 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>2 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>8 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>8 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>8 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>7 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>7 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>8 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>7 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>7 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>7 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>7 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>6 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>7 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>6 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>6 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>8 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>7 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>6 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>7 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>6 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>7 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>7 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>7 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>7 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>7 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>7 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>6 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>6 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>6 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>5 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>7 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>7 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>6 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>6 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>6 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>6 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>6 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>5 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>5 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>6 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>5 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>5 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>8 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>7 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>6 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>7 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>6 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>5 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>5 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>7 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>7 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>6 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>5 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>5 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>6 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>7 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>7 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>7 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>6 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>6 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>7 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>7 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>7 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>6 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>6 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>7 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>6 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>6 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>6 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>7 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>6 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>6 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>6 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>6 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>6 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>6 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>6 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>6 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>5 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>6 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>5 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>5 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>5 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>4 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>4 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>4 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>7 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>6 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>7 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>6 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>6 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>5 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>6 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>6 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>5 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>6 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>6 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>6 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>6 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>6 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>6 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>6 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>6 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>6 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>6 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>5 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>5 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>5 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>5 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>4 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>4 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>4 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>6 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>6 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>6 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>5 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>5 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>5 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>5 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>5 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>5 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>4 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>4 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>5 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>4 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>4 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>8 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>7 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>6 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>7 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>6 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>6 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>7 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>7 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>6 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>5 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>5 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>6 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>5 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>6 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>5 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>4 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>7 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>6 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>7 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>6 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>6 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>5 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>6 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>6 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>5 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>4 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>5 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>5 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>4 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>6 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>6 [1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>6 [1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>5 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>4 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>4 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>5 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>4 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>7 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>7 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>7 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>6 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>6 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>7 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>6 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>6 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>6 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>6 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>5 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>6 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>5 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>7 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>7 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>7 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>6 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>6 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>7 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>6 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>6 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>6 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>6 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>5 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>6 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>5 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>7 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>6 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>6 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>6 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>6 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>6 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>6 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>5 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>5 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>6 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>5 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>5 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>5 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>7 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>6 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>5 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>6 [1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>5 [1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>6 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>6 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>6 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>6 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>6 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>6 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>5 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>6 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>6 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>6 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>6 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>6 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>6 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>5 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>6 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>5 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>4 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>6 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>6 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>5 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>5 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>5 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>5 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>5 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>4 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>4 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>4 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>4 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>6 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>5 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>5 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>5 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>4 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>5 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>4 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>5 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>5 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>4 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>4 [1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>4 [1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>3 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>7 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>6 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>5 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>6 [1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>5 [1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>7 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>6 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>5 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>6 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>5 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>5 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>6 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>5 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>5 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>4 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>6 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>6 [1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>5 [1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>6 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>6 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>5 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>5 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>4 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>5 [1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>5 [1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>4 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>6 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>6 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>6 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>5 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>5 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>6 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>6 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>6 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>5 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>5 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>6 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>5 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>6 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>6 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>6 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>5 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>5 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>6 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>5 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>6 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>5 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>6 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>5 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>5 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>5 [1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>5 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>5 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>5 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>5 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>4 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>5 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>4 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>4 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>4 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>5 [1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>5 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>4 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>5 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>4 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>6 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>5 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>6 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>5 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>5 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>6 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>5
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Description
The maximum of $\operatorname{projdim}(S)+\operatorname{injdim}(S)$ over all simple modules $S$ of the linear Nakayama algebra corresponding to a Dyck path.
The correspondence between linear Nakayama algebras and Dyck paths is explained on the Nakayama algebras page.
References
[1] Marczinzik, René Upper bounds for the dominant dimension of Nakayama and related algebras. zbMATH:06820683
Code
gap('LoadPackage("QPA");')

import tempfile as _tf, os as _os
_gap_code = r"""
DeclareOperation("sumprojinjdimsimple",[IsList]);

InstallMethod(sumprojinjdimsimple, "for a representation of a quiver", [IsList],0,function(LIST)
    local A, TT, i, simA;
    A := LIST[1];
    simA := SimpleModules(A);
    TT := [];
    for i in simA do Append(TT,[ProjDimensionOfModule(i,30)+InjDimensionOfModule(i,30)]);
    od;
    return(Maximum(TT));
end);
"""
with _tf.NamedTemporaryFile(mode="w", suffix=".g", delete=False, dir="/tmp") as _f:
    _f.write('LoadPackage("QPA");;\n')
    _f.write(_gap_code)
    _tmp = _f.name
gap.eval('Read("' + _tmp + '");')
_os.unlink(_tmp)

def kupisch(D):
    DR = D.reverse()
    H = DR.heights()
    return [1 + H[i] for i, s in enumerate(DR) if s == 0] + [1]

def statistic(D):
    K = kupisch(D)
    A = gap.NakayamaAlgebra(gap.GF(3), K)
    return ZZ(gap.sumprojinjdimsimple([A]))
Created
May 09, 2018 at 16:27 by Rene Marczinzik
Updated
Mar 13, 2026 at 16:41 by Nupur Jain