Identifier
Identifier
Values
=>
Cc0005;cc-rep
[1,0,1,0]=>0 [1,1,0,0]=>1 [1,0,1,0,1,0]=>0 [1,0,1,1,0,0]=>1 [1,1,0,0,1,0]=>1 [1,1,0,1,0,0]=>0 [1,1,1,0,0,0]=>3 [1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,0]=>0 [1,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,0,0]=>2 [1,1,0,1,0,0,1,0]=>0 [1,1,0,1,0,1,0,0]=>0 [1,1,0,1,1,0,0,0]=>2 [1,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,1,0,0]=>2 [1,1,1,0,1,0,0,0]=>1 [1,1,1,1,0,0,0,0]=>6 [1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,0]=>0 [1,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,0,0,1,0]=>0 [1,0,1,1,0,1,0,1,0,0]=>0 [1,0,1,1,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,1,1,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,0,0,0]=>6 [1,1,0,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,0,0]=>4 [1,1,0,1,0,0,1,0,1,0]=>0 [1,1,0,1,0,0,1,1,0,0]=>1 [1,1,0,1,0,1,0,0,1,0]=>0 [1,1,0,1,0,1,0,1,0,0]=>0 [1,1,0,1,0,1,1,0,0,0]=>2 [1,1,0,1,1,0,0,0,1,0]=>2 [1,1,0,1,1,0,0,1,0,0]=>1 [1,1,0,1,1,0,1,0,0,0]=>1 [1,1,0,1,1,1,0,0,0,0]=>5 [1,1,1,0,0,0,1,0,1,0]=>3 [1,1,1,0,0,0,1,1,0,0]=>4 [1,1,1,0,0,1,0,0,1,0]=>2 [1,1,1,0,0,1,0,1,0,0]=>2 [1,1,1,0,0,1,1,0,0,0]=>4 [1,1,1,0,1,0,0,0,1,0]=>1 [1,1,1,0,1,0,0,1,0,0]=>1 [1,1,1,0,1,0,1,0,0,0]=>0 [1,1,1,0,1,1,0,0,0,0]=>4 [1,1,1,1,0,0,0,0,1,0]=>6 [1,1,1,1,0,0,0,1,0,0]=>5 [1,1,1,1,0,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,0,0,0]=>3 [1,1,1,1,1,0,0,0,0,0]=>10 [1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,0,1,0,1,1,0,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,1,0,0]=>0 [1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,1,0,0,1,0]=>0 [1,0,1,0,1,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,1,0,1,1,0,0,0]=>2 [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]=>2 [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]=>6 [1,0,1,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,1,0,0,0]=>4 [1,0,1,1,0,1,0,0,1,0,1,0]=>0 [1,0,1,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,1,0,0,1,0]=>0 [1,0,1,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,1,1,0,0,0]=>2 [1,0,1,1,0,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,1,0,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,1,0,0,0]=>1 [1,0,1,1,0,1,1,1,0,0,0,0]=>5 [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]=>4 [1,0,1,1,1,0,0,1,0,0,1,0]=>2 [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]=>4 [1,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,0]=>0 [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]=>6 [1,0,1,1,1,1,0,0,0,1,0,0]=>5 [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]=>10 [1,1,0,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,1,0,0,1,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,1,0,0,1,1,1,0,0,1,0,0]=>3 [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]=>7 [1,1,0,1,0,0,1,0,1,0,1,0]=>0 [1,1,0,1,0,0,1,0,1,1,0,0]=>1 [1,1,0,1,0,0,1,1,0,0,1,0]=>1 [1,1,0,1,0,0,1,1,0,1,0,0]=>0 [1,1,0,1,0,0,1,1,1,0,0,0]=>3 [1,1,0,1,0,1,0,0,1,0,1,0]=>0 [1,1,0,1,0,1,0,0,1,1,0,0]=>1 [1,1,0,1,0,1,0,1,0,0,1,0]=>0 [1,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,1,0,1,0,1,0,1,1,0,0,0]=>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]=>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]=>5 [1,1,0,1,1,0,0,0,1,0,1,0]=>2 [1,1,0,1,1,0,0,0,1,1,0,0]=>3 [1,1,0,1,1,0,0,1,0,0,1,0]=>1 [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]=>3 [1,1,0,1,1,0,1,0,0,0,1,0]=>1 [1,1,0,1,1,0,1,0,0,1,0,0]=>1 [1,1,0,1,1,0,1,0,1,0,0,0]=>0 [1,1,0,1,1,0,1,1,0,0,0,0]=>4 [1,1,0,1,1,1,0,0,0,0,1,0]=>5 [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]=>9 [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]=>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]=>3 [1,1,1,0,0,0,1,1,1,0,0,0]=>6 [1,1,1,0,0,1,0,0,1,0,1,0]=>2 [1,1,1,0,0,1,0,0,1,1,0,0]=>3 [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]=>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]=>3 [1,1,1,0,0,1,1,0,1,0,0,0]=>3 [1,1,1,0,0,1,1,1,0,0,0,0]=>7 [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]=>2 [1,1,1,0,1,0,0,1,0,0,1,0]=>1 [1,1,1,0,1,0,0,1,0,1,0,0]=>1 [1,1,1,0,1,0,0,1,1,0,0,0]=>3 [1,1,1,0,1,0,1,0,0,0,1,0]=>0 [1,1,1,0,1,0,1,0,0,1,0,0]=>0 [1,1,1,0,1,0,1,0,1,0,0,0]=>0 [1,1,1,0,1,0,1,1,0,0,0,0]=>3 [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]=>2 [1,1,1,0,1,1,1,0,0,0,0,0]=>8 [1,1,1,1,0,0,0,0,1,0,1,0]=>6 [1,1,1,1,0,0,0,0,1,1,0,0]=>7 [1,1,1,1,0,0,0,1,0,0,1,0]=>5 [1,1,1,1,0,0,0,1,0,1,0,0]=>5 [1,1,1,1,0,0,0,1,1,0,0,0]=>7 [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]=>3 [1,1,1,1,0,0,1,1,0,0,0,0]=>7 [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]=>2 [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]=>7 [1,1,1,1,1,0,0,0,0,0,1,0]=>10 [1,1,1,1,1,0,0,0,0,1,0,0]=>9 [1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,1,1,1,1,0,0,1,0,0,0,0]=>7 [1,1,1,1,1,0,1,0,0,0,0,0]=>6 [1,1,1,1,1,1,0,0,0,0,0,0]=>15 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>0 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>2 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>6 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>4 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>0 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>0 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>2 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>2 [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]=>5 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>3 [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]=>2 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>2 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>4 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>0 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>4 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>6 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>5 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>4 [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]=>10 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>4 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>3 [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]=>3 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>2 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>7 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>0 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>0 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>0 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>2 [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]=>5 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>2 [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]=>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]=>3 [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]=>1 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>5 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>4 [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]=>3 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>9 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>3 [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]=>3 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>2 [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]=>2 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>4 [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]=>3 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>7 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>2 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>0 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>0 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>3 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>4 [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]=>3 [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]=>8 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>6 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>7 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>5 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>5 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>7 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>3 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>7 [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]=>3 [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]=>1 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>7 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>10 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>9 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>7 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>6 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>15 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>3 [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]=>3 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>7 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>3 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>3 [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]=>2 [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]=>6 [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]=>5 [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]=>3 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>5 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>2 [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]=>1 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>5 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>7 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>5 [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]=>11 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>0 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>0 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>1 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>0 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>0 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>2 [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]=>2 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>6 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>0 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>1 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>1 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>0 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>0 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>1 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>0 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>2 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>2 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>1 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>1 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>5 [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]=>3 [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]=>1 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>3 [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]=>0 [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]=>5 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>4 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>3 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>3 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>9 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>2 [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]=>2 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>5 [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]=>2 [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]=>1 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>3 [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]=>2 [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]=>6 [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]=>2 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>1 [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]=>3 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>0 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>0 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>0 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>3 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>4 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>3 [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]=>8 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>5 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>6 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>4 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>6 [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]=>3 [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]=>6 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>3 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>3 [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]=>1 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>7 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>9 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>8 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>7 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>6 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>6 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>14 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>3 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>4 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [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]=>6 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [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]=>3 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>5 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>6 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [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]=>9 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>2 [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]=>2 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>5 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>2 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>3 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>2 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>2 [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]=>4 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>3 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>3 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>7 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>4 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>5 [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]=>3 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>5 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>3 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>3 [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]=>6 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>7 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>6 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>5 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>5 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>11 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>1 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>2 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>2 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>1 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>4 [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]=>2 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>1 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>1 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>3 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>3 [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]=>6 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>0 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>1 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>0 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>0 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>2 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>0 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>0 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>0 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>3 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>3 [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]=>2 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>7 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>4 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>5 [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]=>3 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>5 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>3 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>3 [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]=>6 [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]=>1 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>1 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>6 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>8 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>7 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>6 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>6 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>5 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>13 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>6 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>7 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>7 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>6 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>9 [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]=>6 [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]=>5 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>7 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>7 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>6 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>6 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>10 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>4 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>5 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>4 [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]=>6 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>3 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>3 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>3 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>6 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>7 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>6 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>6 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>5 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>11 [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]=>4 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>3 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>3 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>5 [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]=>2 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>5 [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]=>0 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>5 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>7 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>6 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>6 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>5 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>4 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>12 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>10 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>11 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>9 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>9 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>11 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>8 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>8 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>7 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>11 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>7 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>7 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>6 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>5 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>11 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>6 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>6 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>5 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>4 [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]=>11 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>14 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>13 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>12 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>11 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>10 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>0 [1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>2 [1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>6 [1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>4 [1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>0 [1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>0 [1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>2 [1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>2 [1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>1 [1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>5 [1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>3 [1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>4 [1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>2 [1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>2 [1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>4 [1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>1 [1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>0 [1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>4 [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]=>5 [1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>4 [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]=>10 [1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>4 [1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>3 [1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>2 [1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>7 [1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>0 [1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>0 [1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>0 [1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>0 [1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>2 [1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>2 [1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>1 [1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>1 [1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>5 [1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>2 [1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>1 [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]=>0 [1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>4 [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]=>4 [1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>3 [1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>9 [1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>3 [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]=>3 [1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>6 [1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>2 [1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>3 [1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>2 [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]=>4 [1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>4 [1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>7 [1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>1 [1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>0 [1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>0 [1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>0 [1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>3 [1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>4 [1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>2 [1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>8 [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]=>7 [1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>5 [1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>5 [1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>7 [1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>4 [1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>4 [1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>7 [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]=>3 [1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>2 [1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>1 [1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>7 [1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>10 [1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>9 [1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>8 [1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>7 [1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>6 [1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>15 [1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>4 [1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>3 [1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>2 [1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>7 [1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>3 [1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>1 [1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>3 [1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>2 [1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>6 [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]=>5 [1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>3 [1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>3 [1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>5 [1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>2 [1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>2 [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]=>5 [1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>7 [1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>6 [1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>5 [1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>11 [1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>0 [1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>0 [1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>2 [1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>1 [1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>6 [1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>0 [1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>0 [1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>1 [1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>0 [1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>0 [1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>2 [1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>1 [1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>1 [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]=>2 [1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>3 [1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>1 [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]=>0 [1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>4 [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]=>4 [1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>3 [1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>9 [1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>2 [1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>3 [1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>2 [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]=>1 [1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>1 [1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>3 [1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>2 [1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>6 [1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>1 [1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>2 [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]=>3 [1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>0 [1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>0 [1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>4 [1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>3 [1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>8 [1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>5 [1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>6 [1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>4 [1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>6 [1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>3 [1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>2 [1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>6 [1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>3 [1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>3 [1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>2 [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]=>7 [1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>9 [1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>8 [1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>7 [1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>6 [1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>6 [1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>14 [1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>4 [1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>6 [1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>5 [1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>3 [1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>5 [1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>6 [1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>5 [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]=>9 [1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>2 [1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>3 [1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>3 [1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>2 [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]=>2 [1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>3 [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]=>2 [1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>4 [1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>4 [1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>3 [1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>7 [1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>4 [1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>5 [1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>3 [1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>3 [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]=>3 [1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>2 [1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>6 [1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>7 [1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>6 [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]=>11 [1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>2 [1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>2 [1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>1 [1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>4 [1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>1 [1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>2 [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]=>3 [1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>3 [1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>6 [1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>0 [1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>1 [1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>0 [1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>0 [1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>0 [1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>0 [1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>0 [1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>3 [1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>3 [1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>7 [1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>4 [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]=>3 [1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>3 [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]=>3 [1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>6 [1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>2 [1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>2 [1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>1 [1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>1 [1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>6 [1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>8 [1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>7 [1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>6 [1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>6 [1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>5 [1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>13 [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]=>7 [1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>7 [1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>6 [1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>9 [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]=>6 [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]=>5 [1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>7 [1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>7 [1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>6 [1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>6 [1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>10 [1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>4 [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]=>4 [1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>6 [1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>3 [1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>3 [1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>6 [1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>7 [1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>6 [1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>6 [1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>5 [1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>11 [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]=>4 [1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>3 [1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>3 [1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>5 [1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>2 [1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>5 [1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>1 [1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>1 [1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>1 [1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>0 [1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>5 [1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>7 [1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>6 [1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>6 [1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>5 [1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>4 [1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>12 [1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>10 [1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>11 [1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>9 [1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>9 [1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>11 [1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>8 [1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>8 [1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>7 [1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>11 [1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>7 [1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>7 [1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>6 [1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>5 [1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>11 [1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>6 [1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>6 [1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>5 [1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>4 [1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>3 [1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>11 [1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>15 [1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>14 [1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>13 [1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>12 [1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>11 [1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>10 [1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>21 [1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0]=>3 [1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0]=>7 [1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0]=>3 [1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0]=>5 [1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0]=>1 [1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0]=>3 [1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0]=>2 [1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0]=>6 [1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0]=>5 [1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0]=>3 [1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0]=>3 [1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0]=>5 [1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0]=>2 [1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0]=>2 [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]=>5 [1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0]=>7 [1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0]=>6 [1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0]=>5 [1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0]=>11 [1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0]=>2 [1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0]=>5 [1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0]=>3 [1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0]=>4 [1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0]=>5 [1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0]=>4 [1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0]=>3 [1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0]=>8 [1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0]=>1 [1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0]=>3 [1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0]=>2 [1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0]=>6 [1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0]=>3 [1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0]=>4 [1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0]=>2 [1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0]=>2 [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]=>5 [1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0]=>6 [1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0]=>5 [1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0]=>4 [1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0]=>10 [1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0]=>5 [1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0]=>5 [1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0]=>4 [1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0]=>7 [1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0]=>3 [1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0]=>4 [1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0]=>3 [1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0]=>3 [1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0]=>5 [1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0]=>5 [1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0]=>4 [1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0]=>4 [1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0]=>8 [1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0]=>2 [1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0]=>3 [1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0]=>2 [1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0]=>2 [1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0]=>4 [1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0]=>1 [1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0]=>1 [1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0]=>4 [1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0]=>5 [1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0]=>4 [1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0]=>3 [1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0]=>9 [1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0]=>7 [1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0]=>8 [1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0]=>6 [1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0]=>6 [1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0]=>8 [1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0]=>5 [1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0]=>5 [1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0]=>8 [1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0]=>4 [1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0]=>3 [1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0]=>2 [1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0]=>8 [1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0]=>11 [1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0]=>10 [1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0]=>9 [1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0]=>8 [1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0]=>7 [1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0]=>16 [1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0]=>0 [1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0]=>1 [1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0]=>0 [1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0]=>1 [1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0]=>2 [1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0]=>0 [1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0]=>0 [1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0]=>2 [1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0]=>3 [1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0]=>2 [1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0]=>1 [1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0]=>6 [1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0]=>1
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Description
The number of points below the Dyck path such that the diagonal to the north-east hits the path between two down steps, and the diagonal to the north-west hits the path between two up steps.
References
[1] Mare Counting QF-1 algebras inside quotient algebras of upper triangular matrices via Dyck paths MathOverflow:259038
Code
def statistic(D):
    """Return the number of points such that the diagonal to the
    north-east hits the path between two down steps, and the diagonal
    to the north-west hits the path between two up steps.

    sage: statistic([1,1,0,1,1,0,1,1,0,0,0,0])
    4

    sage: [len([D for D in DyckWords(r) if statistic(D) == 0]) for r in range(8)]
    [1, 1, 1, 2, 4, 8, 17, 37, 81, 179]
    """
    D = DyckWord(D)
    H = D.heights()
    left_bad_points = [(i+1, H[i+1]) for i in range(len(D)-1) if D[i] == D[i+1] == 1]
    right_bad_points = [(i+1, H[i+1]) for i in range(len(D)-1) if D[i] == D[i+1] == 0]
    result = 0
    for i,h in enumerate(D.heights()):
        for j in range(h-2,-1,-2):
            if (any((i-a + j-b) == 0 for (a,b) in left_bad_points) and
                any((i-a - j+b) == 0 for (a,b) in right_bad_points)):
                result += 1
    return result
Created
Jan 08, 2017 at 16:14 by Martin Rubey
Updated
Jan 08, 2017 at 16:14 by Martin Rubey