Identifier
Values
=>
Cc0005;cc-rep-0 Cc0005;cc-rep
[1,0]=>[1,0]=>1 [1,0,1,0]=>[1,1,0,0]=>1 [1,1,0,0]=>[1,0,1,0]=>2 [1,0,1,0,1,0]=>[1,1,1,0,0,0]=>1 [1,0,1,1,0,0]=>[1,1,0,0,1,0]=>2 [1,1,0,0,1,0]=>[1,0,1,1,0,0]=>2 [1,1,0,1,0,0]=>[1,0,1,0,1,0]=>3 [1,1,1,0,0,0]=>[1,1,0,1,0,0]=>2 [1,0,1,0,1,0,1,0]=>[1,1,1,1,0,0,0,0]=>1 [1,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,0]=>2 [1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,0,0]=>2 [1,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,0]=>3 [1,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,0,0]=>2 [1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,0]=>2 [1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0]=>3 [1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,0]=>3 [1,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0]=>4 [1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,0]=>3 [1,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,0]=>2 [1,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0]=>3 [1,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,0]=>2 [1,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,0]=>3 [1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,0,0,0,0,0]=>1 [1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,0]=>2 [1,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0]=>2 [1,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0]=>3 [1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0]=>2 [1,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,0]=>2 [1,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,0]=>3 [1,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0]=>3 [1,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0]=>4 [1,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,0,0]=>3 [1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0]=>3 [1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,0]=>2 [1,0,1,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,0]=>3 [1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,0]=>3 [1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0]=>3 [1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0]=>4 [1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0]=>3 [1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,0]=>4 [1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]=>4 [1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0]=>5 [1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,0,0]=>4 [1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,0]=>3 [1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0]=>4 [1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,0,0,0]=>3 [1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,0]=>4 [1,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,0]=>2 [1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0]=>3 [1,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0]=>4 [1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,0]=>2 [1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0]=>3 [1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,1,0,0,0,0]=>2 [1,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,0]=>3 [1,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0]=>3 [1,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0]=>4 [1,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,0,0,0]=>3 [1,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,0]=>4 [1,1,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,0]=>3 [1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>3 [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>3 [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>2 [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>3 [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>2 [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>3 [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>2 [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,1,0,0,1,1,0,0,1,0]=>[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]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>3 [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>4 [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>5 [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>4 [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>4 [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>4 [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>3 [1,0,1,1,1,0,0,1,0,0,1,0]=>[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]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>4 [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>4 [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>3 [1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>3 [1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>5 [1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>4 [1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>3 [1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>4 [1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>4 [1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>4 [1,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>5 [1,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>4 [1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>4 [1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>5 [1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>5 [1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>6 [1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>5 [1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>4 [1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>5 [1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>4 [1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>5 [1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>3 [1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>4 [1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>4 [1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>5 [1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>4 [1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>4 [1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>4 [1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>4 [1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>5 [1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>5 [1,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>4 [1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>2 [1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>3 [1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>3 [1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>4 [1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>3 [1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>3 [1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>4 [1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>4 [1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>5 [1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,0]=>4 [1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>3 [1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>4 [1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>3 [1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>4 [1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>2 [1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>3 [1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>3 [1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>4 [1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>2 [1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>3 [1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>2 [1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>3 [1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>3 [1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>4 [1,1,1,0,1,1,0,0,1,0,0,0]=>[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]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>4 [1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>3 [1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>3 [1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>4 [1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>4 [1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>5 [1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>4 [1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>3 [1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>4 [1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>3 [1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>4 [1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>4 [1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>5 [1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>4 [1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>3 [1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>4 [1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>3 [1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>4 [1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>3 [1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>4 [1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>[1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>1 [1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>2 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>2 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>3 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>3 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>3 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>4 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>3 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>2 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>3 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>2 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>3 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>2 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>3 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>3 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>4 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>3 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>4 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>4 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>5 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>4 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>4 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>4 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>2 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>3 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>3 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>4 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>2 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>3 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>2 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>4 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>4 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>3 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>3 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>4 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>5 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>4 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>4 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>4 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>4 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>5 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>4 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>4 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>5 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>5 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>6 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>5 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>4 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>5 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>4 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>5 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>4 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>4 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>5 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>4 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>4 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>4 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>5 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>5 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>4 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>2 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>3 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>4 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>3 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>4 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>4 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>5 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>4 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>4 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>3 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>4 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>2 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>3 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>3 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>4 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>2 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>3 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>2 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>4 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>4 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>3 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>4 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>5 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>3 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>5 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>5 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>4 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>3 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>4 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>3 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>4 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>3 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>4 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>3 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>3 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>4 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>5 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>4 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>4 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>5 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>4 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>4 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>5 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>6 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>5 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>4 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>5 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>4 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>5 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>3 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>4 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>4 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>5 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>4 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>3 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>4 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>3 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>4 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>5 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>4 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>5 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>3 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>4 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>5 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>4 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>4 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>5 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>5 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>6 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>5 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>4 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>5 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>4 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>5 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>4 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>5 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>5 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>6 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>5 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>5 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>6 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>6 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>7 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>6 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>5 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>6 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>5 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>6 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>4 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>5 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>5 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>6 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>5 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>4 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>5 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>5 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>5 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>6 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>5 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>6 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>5 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>3 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>4 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>4 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>5 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>4 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>4 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>5 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>5 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>6 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>5 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>4 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>5 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>4 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>5 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>3 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>4 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>4 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>5 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>4 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>3 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>3 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>4 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>4 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>5 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>5 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>4 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>5 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>5 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>6 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>5 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>4 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>5 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>5 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>5 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>6 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>5 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>6 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>5 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>4 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>5 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>5 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>5 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>2 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>3 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>3 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>4 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>3 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>3 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>4 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>5 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>4 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>3 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>4 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>5 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>4 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>4 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>5 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>5 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>6 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>5 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>4 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>5 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>4 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>5 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>3 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>4 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>4 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>5 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>4 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>3 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>4 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>3 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>4 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>4 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>5 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>4 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>5 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>2 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>3 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>3 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>4 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>3 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>3 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>4 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>4 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>5 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>4 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>3 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>3 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>4 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>2 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>3 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>3 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>4 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>3 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>2 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>3 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>2 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>3 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>3 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>4 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>3 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>4 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>3 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>3 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>4 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>4 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>5 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>4 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>3 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>4 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>3 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>4 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>4 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>5 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>4 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>5 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>4 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>3 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>4 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>3 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>4 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>3 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>4 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>3 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>4 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>5 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>4 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>4 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>5 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>5 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>6 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>5 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>4 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>5 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>4 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>5 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>3 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>4 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>4 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>5 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>4 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>3 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>3 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>4 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>4 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>5 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>5 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>4 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>5 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>5 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>6 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>5 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>4 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>5 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>4 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>5 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>5 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>6 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>5 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>6 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>5 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>4 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>5 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>5 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>5 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>3 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>4 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>4 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>5 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>4 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>3 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>4 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>3 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>4 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>4 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>5 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>4 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>5 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>4 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>3 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>4 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>3 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>4 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[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]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>4 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>4 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>5 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>4 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>5 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>4 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>5 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>4
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Description
Number of torsionless simple modules in the corresponding Nakayama algebra.
Map
Delest-Viennot-inverse
Description
Return the Dyck path obtained by applying the inverse of Delest-Viennot's bijection to the corresponding parallelogram polyomino.
Let $D$ be a Dyck path of semilength $n$. The parallelogram polyomino $\gamma(D)$ is defined as follows: let $\tilde D = d_0 d_1 \dots d_{2n+1}$ be the Dyck path obtained by prepending an up step and appending a down step to $D$. Then, the upper path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with even indices, and the lower path of $\gamma(D)$ corresponds to the sequence of steps of $\tilde D$ with odd indices.
The Delest-Viennot bijection $\beta$ returns the parallelogram polyomino, whose column heights are the heights of the peaks of the Dyck path, and the intersection heights between columns are the heights of the valleys of the Dyck path.
This map returns the Dyck path $(\beta^{(-1)}\circ\gamma)(D)$.