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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]=>3 [1,0,1,1,0,0]=>0 [1,1,0,0,1,0]=>0 [1,1,0,1,0,0]=>0 [1,1,1,0,0,0]=>0 [1,0,1,0,1,0,1,0]=>6 [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]=>0 [1,1,0,1,0,0,1,0]=>0 [1,1,0,1,0,1,0,0]=>1 [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]=>10 [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]=>1 [1,0,1,0,1,1,1,0,0,0]=>1 [1,0,1,1,0,0,1,0,1,0]=>3 [1,0,1,1,0,0,1,1,0,0]=>0 [1,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,0]=>0 [1,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,0]=>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]=>3 [1,1,0,0,1,0,1,1,0,0]=>0 [1,1,0,0,1,1,0,0,1,0]=>0 [1,1,0,0,1,1,0,1,0,0]=>0 [1,1,0,0,1,1,1,0,0,0]=>0 [1,1,0,1,0,0,1,0,1,0]=>1 [1,1,0,1,0,0,1,1,0,0]=>0 [1,1,0,1,0,1,0,0,1,0]=>1 [1,1,0,1,0,1,0,1,0,0]=>3 [1,1,0,1,0,1,1,0,0,0]=>1 [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]=>1 [1,1,1,0,0,0,1,1,0,0]=>0 [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]=>1 [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]=>15 [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]=>3 [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]=>6 [1,0,1,0,1,1,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,1,0,0,1,0]=>3 [1,0,1,0,1,1,0,1,0,1,0,0]=>2 [1,0,1,0,1,1,0,1,1,0,0,0]=>1 [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]=>1 [1,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,0,0,0]=>1 [1,0,1,1,0,0,1,0,1,0,1,0]=>6 [1,0,1,1,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,1,0,0]=>0 [1,0,1,1,0,0,1,1,1,0,0,0]=>0 [1,0,1,1,0,1,0,0,1,0,1,0]=>3 [1,0,1,1,0,1,0,0,1,1,0,0]=>0 [1,0,1,1,0,1,0,1,0,0,1,0]=>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]=>1 [1,0,1,1,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,0]=>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]=>3 [1,0,1,1,1,0,0,0,1,1,0,0]=>0 [1,0,1,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,1,0,0]=>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]=>1 [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]=>1 [1,0,1,1,1,0,1,1,0,0,0,0]=>0 [1,0,1,1,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,0,0,0,1,0,0]=>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]=>6 [1,1,0,0,1,0,1,0,1,1,0,0]=>1 [1,1,0,0,1,0,1,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,0]=>0 [1,1,0,0,1,0,1,1,1,0,0,0]=>0 [1,1,0,0,1,1,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,0,0,1,1,0,0]=>0 [1,1,0,0,1,1,0,1,0,0,1,0]=>0 [1,1,0,0,1,1,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,0]=>0 [1,1,0,0,1,1,1,0,0,0,1,0]=>0 [1,1,0,0,1,1,1,0,0,1,0,0]=>0 [1,1,0,0,1,1,1,0,1,0,0,0]=>0 [1,1,0,0,1,1,1,1,0,0,0,0]=>0 [1,1,0,1,0,0,1,0,1,0,1,0]=>3 [1,1,0,1,0,0,1,0,1,1,0,0]=>0 [1,1,0,1,0,0,1,1,0,0,1,0]=>0 [1,1,0,1,0,0,1,1,0,1,0,0]=>0 [1,1,0,1,0,0,1,1,1,0,0,0]=>0 [1,1,0,1,0,1,0,0,1,0,1,0]=>2 [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]=>3 [1,1,0,1,0,1,0,1,0,1,0,0]=>6 [1,1,0,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,1,0,1,1,0,0,0,1,0]=>1 [1,1,0,1,0,1,1,0,0,1,0,0]=>1 [1,1,0,1,0,1,1,0,1,0,0,0]=>1 [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]=>1 [1,1,0,1,1,0,0,0,1,1,0,0]=>0 [1,1,0,1,1,0,0,1,0,0,1,0]=>0 [1,1,0,1,1,0,0,1,0,1,0,0]=>1 [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]=>1 [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]=>3 [1,1,1,0,0,0,1,0,1,1,0,0]=>0 [1,1,1,0,0,0,1,1,0,0,1,0]=>0 [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]=>1 [1,1,1,0,0,1,0,0,1,1,0,0]=>0 [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]=>1 [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]=>1 [1,1,1,0,1,0,0,0,1,1,0,0]=>0 [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]=>1 [1,1,1,0,1,0,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,1,0,1,0,0,0]=>3 [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]=>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]=>1 [1,1,1,1,0,0,0,0,1,1,0,0]=>0 [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]=>1 [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]=>21 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>10 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>10 [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]=>10 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [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]=>4 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>6 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>3 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>3 [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]=>10 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>3 [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]=>6 [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]=>4 [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]=>2 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>3 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>6 [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]=>3 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>3 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>2 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>3 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>10 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>3 [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]=>3 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>0 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>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]=>0 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>0 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>0 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>0 [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]=>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]=>4 [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]=>4 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>6 [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]=>1 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>1 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>3 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>0 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>0 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>1 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>0 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>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]=>6 [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]=>3 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>0 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>0 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>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]=>3 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>0 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>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]=>2 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>1 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>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]=>3 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>0 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>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]=>1 [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]=>1 [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]=>1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>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]=>10 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>3 [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]=>3 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>0 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>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]=>0 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>0 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>0 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>0 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>0 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>0 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>0 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>0 [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]=>0 [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]=>3 [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]=>0 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>0 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>0 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>0 [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]=>0 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>0 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>0 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>0 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>0 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>0 [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]=>0 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>0 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>0 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>0 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>0 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>0 [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]=>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]=>0 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>0 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>1 [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]=>4 [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]=>1 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>1 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>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]=>6 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>10 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>6 [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]=>3 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>2 [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]=>1 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>3 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>1 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>1 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>1 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>2 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>1 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>1 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>1 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>1 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>1 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>1 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>3 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>0 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>0 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>0 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>0 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>1 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>0 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>1 [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]=>1 [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]=>1 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>0 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>0 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>1 [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]=>1 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>1 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>1 [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]=>1 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>0 [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]=>1 [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]=>1 [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]=>6 [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]=>0 [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]=>1 [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]=>3 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>0 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>0 [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]=>1 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>0 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>1 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>3 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>1 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>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]=>1 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>0 [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]=>1 [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]=>3 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>0 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>0 [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]=>1 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>0 [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]=>1 [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]=>2 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>1 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>1 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>1 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>3 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>6 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>3 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>1 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>1 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>1 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>1 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>1 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>1 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>0 [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]=>1 [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]=>1 [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]=>3 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>0 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>0 [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]=>1 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>0 [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]=>1 [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]=>1 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>0 [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]=>1 [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]=>1 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>0 [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]=>1 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>1 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>1 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>3 [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]=>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]=>1 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>0 [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]=>1 [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]=>28 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>15 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>15 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>10 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>10 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>15 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>6 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>10 [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]=>6 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>10 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>6 [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]=>15 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>6 [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]=>3 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>10 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>3 [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]=>6 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>4 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>6 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>3 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>3 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>3 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>10 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>6 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>3 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>3 [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]=>3 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>4 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>6 [1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>15 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>6 [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]=>3 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>6 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>3 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>2 [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]=>3 [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]=>10 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>3 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>3 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>1 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>7 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>6 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>7 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>4 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>4 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>2 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>2 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>2 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>6 [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]=>3 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>2 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>3 [1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>2 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>1 [1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>3 [1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>1 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>1 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>1 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>1 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>10 [1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>3 [1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>6 [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]=>3 [1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>2 [1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>3 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>1 [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]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>3 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>4 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>2 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>4 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>2 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>3 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>6 [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]=>3 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>3 [1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>2 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>3 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>1 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>15 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>6 [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]=>3 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [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]=>1 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>3 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>2 [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]=>3 [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]=>6 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>0 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>0 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>3 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>0 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>3 [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]=>0 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>0 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>0 [1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>3 [1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>0 [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]=>0 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>0 [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]=>0 [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]=>0 [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]=>0 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>0 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>0 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>0 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>10 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>3 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>1 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>3 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>0 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>0 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>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]=>7 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>1 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>6 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>3 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>7 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>10 [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]=>4 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>3 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>4 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>3 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>2 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>1 [1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>2 [1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>1 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>1 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>1 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>6 [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]=>3 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>0 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>3 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>1 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>1 [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]=>3 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>0 [1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>3 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>1 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>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]=>3 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>0 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>0 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>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]=>1 [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]=>1 [1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>0 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>1 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>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]=>10 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>1 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>3 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>0 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>0 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>1 [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]=>6 [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]=>3 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>0 [1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>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]=>3 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>0 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>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]=>1 [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]=>1 [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]=>1 [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]=>6 [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]=>3 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>0 [1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>0 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>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]=>4 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>4 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>6 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>3 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>1 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>1 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>1 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>3 [1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>0 [1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>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]=>1 [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]=>1 [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]=>1 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>0 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>0 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>1 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>0 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>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]=>6 [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]=>3 [1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>0 [1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>1 [1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>1 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>0 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>1 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>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]=>3 [1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>0 [1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>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]=>1 [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]=>1 [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]=>1 [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]=>3 [1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>0 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>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]=>1 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>0 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>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]=>2 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>3 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>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]=>3 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>0 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>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]=>1 [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]=>1 [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]=>1 [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]=>1 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>0 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>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]=>15 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>6 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>6 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>3 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>6 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>1 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>3 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>2 [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]=>3 [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]=>6 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>1 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>0 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>0 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>3 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>0 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>3 [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]=>0 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>0 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>0 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>3 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>0 [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]=>0 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>0 [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]=>0 [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]=>0 [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]=>0 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>0 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>0 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>0 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>6 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>1 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>0 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>0 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>0 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>0 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>0 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>0 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>0 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>0 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>0 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>3 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>0 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>0 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>0 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>0 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>3 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>6 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>3 [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]=>0 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>0 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>0 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>0 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>0 [1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0]=>0 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>0 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>0 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>0 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>0 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>0 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>3 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>0 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>0 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>0 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>0 [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]=>0 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>0 [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]=>0 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>0 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>0 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>0 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>0 [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]=>0 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>0 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>0 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>0 [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]=>3 [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]=>0 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>0 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>0 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>0 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>0 [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]=>0 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>0 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>0 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>0 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>0 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>0 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>0 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>0 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>0 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>0 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>0 [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]=>0 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>0 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>0 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>0 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>0 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>0 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>0 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>10 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>3 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>3 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>3 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>0 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>0 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>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
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Description
The number of pairs of singleton blocks in the noncrossing set partition corresponding to a Dyck path, that can be merged to create another noncrossing set partition.
Let $D$ be a Dyck path, and let $P$ be the noncrossing set partition obtained by applying Mp00138to noncrossing partition. For each pair of singleton blocks $\{a\}, \{b\}$, let $P'$ be the set partition obtained from $P$ by merging the two blocks. This statistic enumerates the number of (unordered) pairs of singleton blocks such that $P'$ is noncrossing.
References
[1] Rouyer, J., Ninet, A. Two New Integer Sequences Related to Crossroads and Catalan Numbers arXiv:2311.07181
Code
def statistic(D):
    P = SetPartition(D.to_noncrossing_partition())
    S = [b for b in P if len(b) == 1]
    return sum(1 for b, c in Subsets(S, 2)
               if SetPartition([p for p in P if p != b and p != c]
                               + [b.union(c)]).is_noncrossing())
Created
Nov 15, 2023 at 00:03 by Martin Rubey
Updated
Nov 15, 2023 at 00:03 by Martin Rubey