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Identifier
Values
=>
Cc0005;cc-rep
[1,0]=>0 [1,0,1,0]=>1 [1,1,0,0]=>0 [1,0,1,0,1,0]=>2 [1,0,1,1,0,0]=>1 [1,1,0,0,1,0]=>1 [1,1,0,1,0,0]=>1 [1,1,1,0,0,0]=>0 [1,0,1,0,1,0,1,0]=>3 [1,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,0]=>2 [1,0,1,1,1,0,0,0]=>1 [1,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,0]=>1 [1,1,0,1,0,0,1,0]=>2 [1,1,0,1,0,1,0,0]=>1 [1,1,0,1,1,0,0,0]=>1 [1,1,1,0,0,0,1,0]=>1 [1,1,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,0,0]=>1 [1,1,1,1,0,0,0,0]=>0 [1,0,1,0,1,0,1,0,1,0]=>4 [1,0,1,0,1,0,1,1,0,0]=>3 [1,0,1,0,1,1,0,0,1,0]=>3 [1,0,1,0,1,1,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,0,0]=>2 [1,0,1,1,0,0,1,0,1,0]=>3 [1,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,0,0,1,0]=>3 [1,0,1,1,0,1,0,1,0,0]=>2 [1,0,1,1,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,0,0,1,0]=>2 [1,0,1,1,1,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,0,0,0]=>1 [1,1,0,0,1,0,1,0,1,0]=>3 [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]=>2 [1,1,0,0,1,1,1,0,0,0]=>1 [1,1,0,1,0,0,1,0,1,0]=>3 [1,1,0,1,0,0,1,1,0,0]=>2 [1,1,0,1,0,1,0,0,1,0]=>2 [1,1,0,1,0,1,0,1,0,0]=>2 [1,1,0,1,0,1,1,0,0,0]=>1 [1,1,0,1,1,0,0,0,1,0]=>2 [1,1,0,1,1,0,0,1,0,0]=>2 [1,1,0,1,1,0,1,0,0,0]=>1 [1,1,0,1,1,1,0,0,0,0]=>1 [1,1,1,0,0,0,1,0,1,0]=>2 [1,1,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,0,1,0,0,1,0]=>2 [1,1,1,0,0,1,0,1,0,0]=>1 [1,1,1,0,0,1,1,0,0,0]=>1 [1,1,1,0,1,0,0,0,1,0]=>2 [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]=>0 [1,0,1,0,1,0,1,0,1,0,1,0]=>5 [1,0,1,0,1,0,1,0,1,1,0,0]=>4 [1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,0,1,0,1,0,1,1,0,1,0,0]=>4 [1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,0,1,0,1,1,0,1,0,0,1,0]=>4 [1,0,1,0,1,1,0,1,0,1,0,0]=>3 [1,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,0,1,1,1,0,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,0,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,0,1,1,0,0,1,1,0,0,1,0]=>3 [1,0,1,1,0,0,1,1,0,1,0,0]=>3 [1,0,1,1,0,0,1,1,1,0,0,0]=>2 [1,0,1,1,0,1,0,0,1,0,1,0]=>4 [1,0,1,1,0,1,0,0,1,1,0,0]=>3 [1,0,1,1,0,1,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,1,0,1,0,0]=>3 [1,0,1,1,0,1,0,1,1,0,0,0]=>2 [1,0,1,1,0,1,1,0,0,0,1,0]=>3 [1,0,1,1,0,1,1,0,0,1,0,0]=>3 [1,0,1,1,0,1,1,0,1,0,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,0,0,1,0,1,0]=>3 [1,0,1,1,1,0,0,0,1,1,0,0]=>2 [1,0,1,1,1,0,0,1,0,0,1,0]=>3 [1,0,1,1,1,0,0,1,0,1,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,1,0,0,0,1,0]=>3 [1,0,1,1,1,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,0,0]=>2 [1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,0,0]=>2 [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]=>4 [1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,1,0,0,1,0,1,1,0,0,1,0]=>3 [1,1,0,0,1,0,1,1,0,1,0,0]=>3 [1,1,0,0,1,0,1,1,1,0,0,0]=>2 [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]=>2 [1,1,0,0,1,1,0,1,0,0,1,0]=>3 [1,1,0,0,1,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,0]=>2 [1,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,1,0,0,1,1,1,0,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,1,0,0,0]=>2 [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]=>4 [1,1,0,1,0,0,1,0,1,1,0,0]=>3 [1,1,0,1,0,0,1,1,0,0,1,0]=>3 [1,1,0,1,0,0,1,1,0,1,0,0]=>3 [1,1,0,1,0,0,1,1,1,0,0,0]=>2 [1,1,0,1,0,1,0,0,1,0,1,0]=>3 [1,1,0,1,0,1,0,0,1,1,0,0]=>2 [1,1,0,1,0,1,0,1,0,0,1,0]=>3 [1,1,0,1,0,1,0,1,0,1,0,0]=>3 [1,1,0,1,0,1,0,1,1,0,0,0]=>2 [1,1,0,1,0,1,1,0,0,0,1,0]=>2 [1,1,0,1,0,1,1,0,0,1,0,0]=>2 [1,1,0,1,0,1,1,0,1,0,0,0]=>2 [1,1,0,1,0,1,1,1,0,0,0,0]=>1 [1,1,0,1,1,0,0,0,1,0,1,0]=>3 [1,1,0,1,1,0,0,0,1,1,0,0]=>2 [1,1,0,1,1,0,0,1,0,0,1,0]=>3 [1,1,0,1,1,0,0,1,0,1,0,0]=>2 [1,1,0,1,1,0,0,1,1,0,0,0]=>2 [1,1,0,1,1,0,1,0,0,0,1,0]=>2 [1,1,0,1,1,0,1,0,0,1,0,0]=>2 [1,1,0,1,1,0,1,0,1,0,0,0]=>2 [1,1,0,1,1,0,1,1,0,0,0,0]=>1 [1,1,0,1,1,1,0,0,0,0,1,0]=>2 [1,1,0,1,1,1,0,0,0,1,0,0]=>2 [1,1,0,1,1,1,0,0,1,0,0,0]=>2 [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]=>3 [1,1,1,0,0,0,1,0,1,1,0,0]=>2 [1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,1,1,0,0,0,1,1,0,1,0,0]=>2 [1,1,1,0,0,0,1,1,1,0,0,0]=>1 [1,1,1,0,0,1,0,0,1,0,1,0]=>3 [1,1,1,0,0,1,0,0,1,1,0,0]=>2 [1,1,1,0,0,1,0,1,0,0,1,0]=>2 [1,1,1,0,0,1,0,1,0,1,0,0]=>2 [1,1,1,0,0,1,0,1,1,0,0,0]=>1 [1,1,1,0,0,1,1,0,0,0,1,0]=>2 [1,1,1,0,0,1,1,0,0,1,0,0]=>2 [1,1,1,0,0,1,1,0,1,0,0,0]=>1 [1,1,1,0,0,1,1,1,0,0,0,0]=>1 [1,1,1,0,1,0,0,0,1,0,1,0]=>3 [1,1,1,0,1,0,0,0,1,1,0,0]=>2 [1,1,1,0,1,0,0,1,0,0,1,0]=>2 [1,1,1,0,1,0,0,1,0,1,0,0]=>2 [1,1,1,0,1,0,0,1,1,0,0,0]=>1 [1,1,1,0,1,0,1,0,0,0,1,0]=>2 [1,1,1,0,1,0,1,0,0,1,0,0]=>2 [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]=>2 [1,1,1,0,1,1,0,0,0,1,0,0]=>2 [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]=>1 [1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,1,1,1,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,1,1,1,0,0,0,1,0,1,0,0]=>1 [1,1,1,1,0,0,0,1,1,0,0,0]=>1 [1,1,1,1,0,0,1,0,0,0,1,0]=>2 [1,1,1,1,0,0,1,0,0,1,0,0]=>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]=>2 [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]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>6 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>5 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>5 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>5 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>4 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>5 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>4 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>5 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>4 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>4 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>4 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>4 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>5 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>4 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>4 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>5 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>4 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>3 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>4 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>4 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>4 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>3 [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]=>3 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>4 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>4 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>3 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>5 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>4 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>4 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [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]=>4 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>3 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>3 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>2 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>5 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>4 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>4 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>4 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>3 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>4 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>4 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>4 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>4 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>3 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>3 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>3 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>3 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>3 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>3 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>2 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>3 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>3 [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]=>4 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>3 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>3 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>3 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>2 [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]=>4 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>3 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>2 [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]=>3 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>2 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>3 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>2 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>3 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>2 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>2 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>2 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>2 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>2 [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]=>5 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>4 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>4 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [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]=>4 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>3 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>3 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>3 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [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]=>3 [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]=>4 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>3 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>3 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>3 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>3 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>3 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>2 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>3 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>2 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>3 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>2 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>2 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>2 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>2 [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]=>5 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>4 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>4 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>4 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>3 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>3 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>3 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>3 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>4 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>3 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>3 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>3 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>2 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>4 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>4 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>3 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>3 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>2 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>3 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>2 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>3 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>2 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>2 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>3 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>3 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>2 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>2 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>2 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>2 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>2 [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]=>4 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>3 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>3 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>4 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>3 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>2 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>3 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>2 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>3 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>3 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>2 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>2 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>3 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>2 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>3 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>3 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>2 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>3 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>3 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>2 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>2 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>2 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>2 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>2 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>2 [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]=>3 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>2 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>3 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>2 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>2 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>2 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>2 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>2 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>2 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>2 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>2 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>2 [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]=>2 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>2 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>2 [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]=>4 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>3 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>3 [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]=>3 [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]=>3 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>2 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>2 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>2 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>2 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>2 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>4 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>3 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>3 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>3 [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]=>3 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>2 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>3 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>3 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>2 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>2 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>2 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>2 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>1 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>3 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>2 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>3 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>2 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>2 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>2 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>2 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>2 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>1 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>2 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>2 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>2 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>1 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>1 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>4 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>3 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>3 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>3 [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]=>3 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>2 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>3 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>3 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>2 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>2 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>2 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>2 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>1 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>3 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>2 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>3 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>3 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>2 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>2 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>2 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>2 [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]=>2 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>2 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>2 [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]=>1 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>3 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>2 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>3 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>2 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>2 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>2 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>2 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>2 [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]=>2 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>2 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>2 [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]=>1 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>1 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>1 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>3 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>2 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>2 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>2 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>3 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>2 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>2 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>2 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>1 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>2 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>2 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>1 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>1 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>3 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>2 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>2 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>2 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>1 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>2 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>2 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>1 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>1 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>2 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>2 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>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]=>1 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>3 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>2 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>2 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>2 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>1 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>2 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>2 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>1 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>1 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>2 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>2 [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]=>2 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>2 [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]=>1 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>1 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>1 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>2 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>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]=>2 [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]=>2 [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]=>0
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Description
The global dimension of $eAe$ for the corresponding Nakayama algebra $A$ with minimal faithful projective-injective module $eA$.
Code
gap('LoadPackage("QPA");')

gap.eval('DeclareOperation("statistic", [IsList]);')
gap_code = r"""
InstallMethod(statistic, "for a representation of a quiver", [IsList],0,function(L)

local A,g,projA,priA,x,B;

A := NakayamaAlgebra(GF(3), L);
projA:=IndecProjectiveModules(A);
priA:=DirectSumOfQPAModules(Filtered(projA,x->IsInjectiveModule(x)=true));
B:=EndOfModuleAsQuiverAlgebra(priA)[3];
g:=GlobalDimensionOfAlgebra(B,30);
return(g);
end);
"""
gap.eval(gap_code)

def kupisch(D):
    """
    sage: [kupisch(D) for D in DyckWords(3)]
    [[2, 2, 2, 1], [2, 3, 2, 1], [3, 2, 2, 1], [3, 3, 2, 1], [4, 3, 2, 1]]
    """
    H = D.heights()
    return [1+H[i] for i, s in enumerate(D) if s == 0]+[1]

def statistic(D):
    return gap.statistic(kupisch(D.reverse()))
Created
May 14, 2018 at 10:47 by Rene Marczinzik
Updated
May 14, 2018 at 20:17 by Martin Rubey