Identifier
Values
=>
Cc0005;cc-rep-0 Cc0005;cc-rep
[1,0,1,0]=>[1,1,0,0]=>1 [1,1,0,0]=>[1,0,1,0]=>1 [1,0,1,0,1,0]=>[1,1,1,0,0,0]=>1 [1,0,1,1,0,0]=>[1,1,0,1,0,0]=>2 [1,1,0,0,1,0]=>[1,0,1,0,1,0]=>2 [1,1,0,1,0,0]=>[1,0,1,1,0,0]=>1 [1,1,1,0,0,0]=>[1,1,0,0,1,0]=>1 [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]=>[1,1,1,0,1,0,0,0]=>2 [1,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,0]=>3 [1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,0,0]=>2 [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]=>[1,0,1,1,0,0,1,0]=>2 [1,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0]=>3 [1,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,0,0]=>2 [1,1,0,1,0,1,0,0]=>[1,0,1,1,1,0,0,0]=>1 [1,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,0]=>2 [1,1,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,0]=>2 [1,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,0]=>2 [1,1,1,0,1,0,0,0]=>[1,1,0,0,1,1,0,0]=>1 [1,1,1,1,0,0,0,0]=>[1,1,1,0,0,0,1,0]=>1 [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]=>[1,1,1,1,0,1,0,0,0,0]=>2 [1,0,1,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,0,1,0,0]=>[1,1,1,0,1,1,0,0,0,0]=>2 [1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,0,0,1,0,0,0]=>2 [1,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,1,0,0]=>3 [1,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,0]=>4 [1,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,0,0,1,0,0]=>[1,1,1,0,0,1,0,1,0,0]=>3 [1,0,1,1,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,0,0,0]=>2 [1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,0,0]=>2 [1,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,0,0,0,1,0]=>2 [1,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,0,1,0,0,1,0]=>3 [1,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0]=>4 [1,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,1,0,0,1,0]=>3 [1,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,0,0,1,0,1,0]=>3 [1,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,0,0,1,0,0]=>2 [1,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,0]=>3 [1,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,0]=>2 [1,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,0,0,0,0]=>1 [1,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,1,0,0,0]=>2 [1,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,1,0,0]=>3 [1,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,1,0,1,0,0]=>3 [1,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,0,0,0]=>2 [1,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,0,0]=>2 [1,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,1,0,0,0,1,0]=>2 [1,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,0,1,0]=>3 [1,1,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0]=>3 [1,1,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,0,0,1,0]=>2 [1,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,0,1,0,1,0]=>3 [1,1,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,1,0,0]=>2 [1,1,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,0,1,0,0]=>2 [1,1,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,0,0,0]=>1 [1,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,0,0]=>2 [1,1,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,0,0,1,0]=>2 [1,1,1,1,0,0,0,1,0,0]=>[1,1,1,0,0,1,0,0,1,0]=>2 [1,1,1,1,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,0,1,0]=>2 [1,1,1,1,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,0,0]=>1 [1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,0]=>1 [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]=>[1,1,1,1,1,0,1,0,0,0,0,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,0,1,0,1,0,0,0,0]=>3 [1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,0,1,1,0,0,0,0,0]=>2 [1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0]=>2 [1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,1,0,0,0]=>3 [1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,1,0,0,0]=>4 [1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,0,1,0,0,0,0]=>3 [1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,0,1,1,1,0,0,0,0,0]=>2 [1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0]=>3 [1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0]=>2 [1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,1,0,0]=>4 [1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,1,0,0]=>4 [1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0]=>4 [1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,1,0,0,0]=>3 [1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,1,0,0,0]=>4 [1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,1,0,0,0,0,0]=>2 [1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,1,1,0,0,0]=>4 [1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,1,0,0]=>4 [1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,1,0,0]=>4 [1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,1,0,0]=>3 [1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0]=>4 [1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0]=>3 [1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0]=>2 [1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,0,1,0]=>3 [1,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,0,1,0]=>4 [1,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,0,1,0]=>3 [1,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,0,1,0]=>5 [1,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,0,1,0]=>4 [1,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,0,1,0]=>3 [1,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,0,1,0]=>4 [1,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0]=>3 [1,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0]=>3 [1,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,0,1,0,0]=>3 [1,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,0,1,0,1,0,1,0,0]=>4 [1,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,0,1,1,0,0,1,0,0]=>3 [1,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0]=>3 [1,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,1,0,0,1,0,0,0]=>2 [1,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,0,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,1,0,1,0,0,0,0]=>2 [1,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0]=>2 [1,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,0,1,0,1,1,0,0,0]=>3 [1,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0]=>2 [1,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0]=>2 [1,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,0,1,0,1,1,0,0]=>4 [1,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,0,1,0,1,0,0]=>4 [1,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,0,0,1,0,0]=>3 [1,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0]=>4 [1,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,0,1,0,0,0]=>3 [1,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,0,1,0,0,1,1,0,0]=>3 [1,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0]=>3 [1,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0]=>2 [1,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,0]=>2 [1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,0,0,0,0,1,0]=>2 [1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,0,1,0,0,0,1,0]=>3 [1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,1,0,1,0,1,0,0,1,0]=>4 [1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,1,0,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0]=>3 [1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,0,1,0]=>3 [1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,0,1,0]=>4 [1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,0,1,0]=>3 [1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,0,1,0]=>2 [1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0]=>3 [1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,0,1,0]=>4 [1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,0,1,0]=>4 [1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0]=>3 [1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0]=>3 [1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,0,0,1,1,0,0]=>2 [1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,0,1,0,1,1,0,0]=>3 [1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,0,1,0,1,0,0]=>3 [1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,0,0,1,0,0]=>2 [1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,0]=>3 [1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,0,1,1,0,0,0]=>2 [1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,0,1,0,0,0]=>2 [1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,0]=>1 [1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0]=>2 [1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,1,0,1,0,0,1,1,0,0]=>3 [1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,0,1,1,0,0]=>3 [1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,0]=>3 [1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0]=>2 [1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0]=>2 [1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,1,1,0,0,0,0,1,0]=>2 [1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,1,0,1,0,0,0,1,0]=>3 [1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,0,1,0,0,1,0]=>3 [1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,0,0,0,1,0]=>2 [1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0]=>3 [1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,0,1,0]=>3 [1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,0,1,0]=>3 [1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0]=>2 [1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0]=>3 [1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,1,0,0,1,1,0,0]=>2 [1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,0,1,1,0,0]=>2 [1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,0]=>2 [1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0]=>1 [1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,0]=>2 [1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,1,0,0,0,0,1,0]=>2 [1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,1,0,0,0,1,0]=>2 [1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0]=>2 [1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0]=>2 [1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0]=>1 [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]=>[1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>2 [1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>[1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>3 [1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>[1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>2 [1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>[1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>2 [1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>[1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>3 [1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>4 [1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>[1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>3 [1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>[1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>2 [1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>3 [1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>3 [1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>3 [1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>[1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>2 [1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>2 [1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>3 [1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>4 [1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>5 [1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>4 [1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>4 [1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>3 [1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>4 [1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>[1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>3 [1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>[1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>2 [1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>[1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>3 [1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>4 [1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>3 [1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>3 [1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>4 [1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>4 [1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>4 [1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>3 [1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>2 [1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>3 [1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>2 [1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>2 [1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>3 [1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>4 [1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>5 [1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>4 [1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>4 [1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>5 [1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>6 [1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>5 [1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>4 [1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>5 [1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>5 [1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>5 [1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>4 [1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>4 [1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>3 [1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>4 [1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>4 [1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>4 [1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>3 [1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>4 [1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>3 [1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>2 [1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>3 [1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>4 [1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>3 [1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>4 [1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>5 [1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>4 [1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>5 [1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>3 [1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>3 [1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>5 [1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>4 [1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>4 [1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>5 [1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>4 [1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>4 [1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>5 [1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>5 [1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>4 [1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>4 [1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>4 [1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>4 [1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>3 [1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>3 [1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>2 [1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>4 [1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>3 [1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>3 [1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>3 [1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>3 [1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>2 [1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>3 [1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>3 [1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>3 [1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>3 [1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>3 [1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>2 [1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,0,1,0]=>3 [1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,0,1,0]=>4 [1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,0,1,0]=>3 [1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,0,1,0]=>4 [1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,0,1,0]=>5 [1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,0,0,1,0]=>4 [1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,0,1,0]=>3 [1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,0,1,0]=>4 [1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,0,1,0]=>4 [1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,0,1,0]=>4 [1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,0,1,0]=>3 [1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,0,1,0]=>3 [1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,0,1,0]=>4 [1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,0,1,0]=>5 [1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,0,1,0]=>6 [1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,0,1,0]=>5 [1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,0,1,0]=>5 [1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,0,1,0]=>4 [1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,0,1,0]=>5 [1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,0,1,0]=>4 [1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,0,1,0]=>3 [1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,0,1,0]=>4 [1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,0,1,0]=>5 [1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,0,1,0]=>5 [1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,0,1,0]=>4 [1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,0,1,0]=>4 [1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,0,1,0]=>4 [1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,0,1,0]=>5 [1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,0,1,0]=>5 [1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,0,1,0]=>5 [1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,0,1,0]=>4 [1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,0,1,0]=>3 [1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,0,1,0]=>4 [1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,0,1,0]=>4 [1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,0,1,0]=>4 [1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,0,1,0]=>3 [1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,0,1,0]=>3 [1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,0,1,0,0]=>3 [1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,0,1,0,0]=>4 [1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,0,1,0,0]=>3 [1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,0,1,0,0]=>3 [1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,0,1,0,0]=>4 [1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,0,1,0,0]=>5 [1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,0,1,0,0]=>4 [1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,0,1,0,0]=>3 [1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,0,1,0,0]=>4 [1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,0,1,0,0]=>4 [1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,0,1,0,0]=>4 [1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,0,1,0,0]=>3 [1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,0,1,0,0]=>3 [1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,0,0,1,0,0,0]=>2 [1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,0,0,1,0,0,0]=>3 [1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,0,1,0,0,0]=>4 [1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,0,1,0,0,0]=>3 [1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>[1,0,1,1,1,1,0,0,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>[1,0,1,1,1,1,1,0,0,1,0,0,0,0]=>2 [1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>[1,0,1,1,1,1,0,1,0,1,0,0,0,0]=>3 [1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>[1,0,1,1,1,1,1,0,1,0,0,0,0,0]=>2 [1,1,0,1,0,1,0,1,0,1,0,1,0,0]=>[1,0,1,1,1,1,1,1,0,0,0,0,0,0]=>1 [1,1,0,1,0,1,0,1,0,1,1,0,0,0]=>[1,0,1,1,1,1,0,1,1,0,0,0,0,0]=>2 [1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,1,1,0,0,0,0]=>3 [1,1,0,1,0,1,0,1,1,0,0,1,0,0]=>[1,0,1,1,1,0,1,1,0,1,0,0,0,0]=>3 [1,1,0,1,0,1,0,1,1,0,1,0,0,0]=>[1,0,1,1,1,0,1,1,1,0,0,0,0,0]=>2 [1,1,0,1,0,1,0,1,1,1,0,0,0,0]=>[1,0,1,1,1,1,0,0,1,1,0,0,0,0]=>2 [1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,1,1,0,0,0]=>3 [1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,1,1,0,0,0]=>4 [1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,0,1,0,0,0]=>4 [1,1,0,1,0,1,1,0,0,1,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,0,1,0,0,0]=>3 [1,1,0,1,0,1,1,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>[1,0,1,1,0,1,1,0,1,1,0,0,0,0]=>3 [1,1,0,1,0,1,1,0,1,0,0,1,0,0]=>[1,0,1,1,0,1,1,1,0,1,0,0,0,0]=>3 [1,1,0,1,0,1,1,0,1,0,1,0,0,0]=>[1,0,1,1,0,1,1,1,1,0,0,0,0,0]=>2 [1,1,0,1,0,1,1,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,1,1,1,0,0,0,0]=>3 [1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,1,1,0,0,0]=>3 [1,1,0,1,0,1,1,1,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,1,1,0,0,0]=>3 [1,1,0,1,0,1,1,1,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,1,1,0,1,0,0,0]=>3 [1,1,0,1,0,1,1,1,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,1,1,1,0,0,0,0]=>2 [1,1,0,1,0,1,1,1,1,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,1,1,0,0,0]=>2 [1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,0,1,1,0,0]=>3 [1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,0,1,1,0,0]=>4 [1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,0,1,1,0,0]=>5 [1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,0,1,1,0,0]=>4 [1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>[1,0,1,0,1,1,0,0,1,0,1,1,0,0]=>4 [1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,0,1,0,0]=>4 [1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,0,1,0,0]=>5 [1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,0,1,0,0]=>4 [1,1,0,1,1,0,0,1,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,0,1,0,0]=>3 [1,1,0,1,1,0,0,1,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,0,1,0,0]=>4 [1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,0,1,0,0]=>5 [1,1,0,1,1,0,0,1,1,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,0,1,0,0]=>5 [1,1,0,1,1,0,0,1,1,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,0,1,0,0]=>4 [1,1,0,1,1,0,0,1,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,0,1,0,0]=>4 [1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>[1,0,1,0,1,1,1,0,0,1,1,0,0,0]=>3 [1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>[1,0,1,0,1,1,0,1,0,1,1,0,0,0]=>4 [1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,0,1,0,0,0]=>4 [1,1,0,1,1,0,1,0,0,1,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,0,1,0,0,0]=>3 [1,1,0,1,1,0,1,0,0,1,1,0,0,0]=>[1,0,1,0,1,1,0,1,1,0,1,0,0,0]=>4 [1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>[1,0,1,0,1,1,1,0,1,1,0,0,0,0]=>3 [1,1,0,1,1,0,1,0,1,0,0,1,0,0]=>[1,0,1,0,1,1,1,1,0,1,0,0,0,0]=>3 [1,1,0,1,1,0,1,0,1,0,1,0,0,0]=>[1,0,1,0,1,1,1,1,1,0,0,0,0,0]=>2 [1,1,0,1,1,0,1,0,1,1,0,0,0,0]=>[1,0,1,0,1,1,0,1,1,1,0,0,0,0]=>3 [1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>[1,0,1,0,1,0,1,0,1,1,1,0,0,0]=>4 [1,1,0,1,1,0,1,1,0,0,0,1,0,0]=>[1,0,1,0,1,0,1,1,0,1,1,0,0,0]=>4 [1,1,0,1,1,0,1,1,0,0,1,0,0,0]=>[1,0,1,0,1,0,1,1,1,0,1,0,0,0]=>4 [1,1,0,1,1,0,1,1,0,1,0,0,0,0]=>[1,0,1,0,1,0,1,1,1,1,0,0,0,0]=>3 [1,1,0,1,1,0,1,1,1,0,0,0,0,0]=>[1,0,1,0,1,1,0,0,1,1,1,0,0,0]=>3 [1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>[1,0,1,1,0,1,1,0,0,0,1,1,0,0]=>3 [1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>[1,0,1,1,0,1,0,1,0,0,1,1,0,0]=>4 [1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,0,1,1,0,0]=>4 [1,1,0,1,1,1,0,0,0,1,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,1,0,1,1,1,0,0,0,1,1,0,0,0]=>[1,0,1,1,0,1,0,0,1,0,1,1,0,0]=>4 [1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,0,1,0,0]=>4 [1,1,0,1,1,1,0,0,1,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,0,1,0,0]=>4 [1,1,0,1,1,1,0,0,1,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,0,1,0,0]=>3 [1,1,0,1,1,1,0,0,1,1,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,0,1,0,0]=>4 [1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>[1,0,1,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,1,0,1,1,1,0,1,0,0,0,1,0,0]=>[1,0,1,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,1,0,1,1,1,0,1,0,0,1,0,0,0]=>[1,0,1,1,0,0,1,1,1,0,1,0,0,0]=>3 [1,1,0,1,1,1,0,1,0,1,0,0,0,0]=>[1,0,1,1,0,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,1,1,1,0,1,1,0,0,0,0,0]=>[1,0,1,1,0,1,0,0,1,1,1,0,0,0]=>3 [1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>[1,0,1,1,1,0,1,0,0,0,1,1,0,0]=>3 [1,1,0,1,1,1,1,0,0,0,0,1,0,0]=>[1,0,1,1,1,0,0,1,0,0,1,1,0,0]=>3 [1,1,0,1,1,1,1,0,0,0,1,0,0,0]=>[1,0,1,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,1,0,1,1,1,1,0,0,1,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,0,1,0,0]=>3 [1,1,0,1,1,1,1,0,1,0,0,0,0,0]=>[1,0,1,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,1,0,1,1,1,1,1,0,0,0,0,0,0]=>[1,0,1,1,1,1,0,0,0,0,1,1,0,0]=>2 [1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>[1,1,0,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>[1,1,0,1,1,1,0,1,0,0,0,0,1,0]=>3 [1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>[1,1,0,1,1,0,1,0,1,0,0,0,1,0]=>4 [1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>[1,1,0,1,1,0,1,1,0,0,0,0,1,0]=>3 [1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>[1,1,0,1,1,1,0,0,1,0,0,0,1,0]=>3 [1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,1,0,0,1,0]=>4 [1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,1,0,0,1,0]=>5 [1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>[1,1,0,1,0,1,1,0,1,0,0,0,1,0]=>4 [1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>[1,1,0,1,0,1,1,1,0,0,0,0,1,0]=>3 [1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,1,1,0,0,0,1,0]=>4 [1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,1,0,0,1,0]=>4 [1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,1,0,0,1,0]=>4 [1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>[1,1,0,1,1,0,0,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,1,0,0,1,0]=>3 [1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,0,1,0]=>3 [1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,0,1,0]=>4 [1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,0,1,0]=>5 [1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,0,1,0]=>4 [1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,0,1,0]=>4 [1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,0,1,0]=>3 [1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,0,1,0]=>4 [1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,0,1,0]=>3 [1,1,1,0,0,1,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,0,1,0]=>2 [1,1,1,0,0,1,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,0,1,0]=>4 [1,1,1,0,0,1,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,0,1,0]=>4 [1,1,1,0,0,1,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,1,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,0,1,0]=>3 [1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,0,1,0]=>4 [1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,0,1,0]=>5 [1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,0,1,0]=>5 [1,1,1,0,0,1,1,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,0,1,0]=>4 [1,1,1,0,0,1,1,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,0,1,0]=>5 [1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,0,1,0]=>4 [1,1,1,0,0,1,1,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,0,1,0]=>4 [1,1,1,0,0,1,1,0,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,0,1,0]=>3 [1,1,1,0,0,1,1,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,0,1,0]=>4 [1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,0,1,0]=>4 [1,1,1,0,0,1,1,1,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,0,1,0]=>4 [1,1,1,0,0,1,1,1,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,0,1,0]=>4 [1,1,1,0,0,1,1,1,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,0,1,0]=>3 [1,1,1,0,0,1,1,1,1,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,0,1,0]=>3 [1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,0,1,1,0,0]=>2 [1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,0,1,1,0,0]=>3 [1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,0,1,1,0,0]=>4 [1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,0,1,1,0,0]=>3 [1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>[1,1,0,0,1,1,0,0,1,0,1,1,0,0]=>3 [1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,0,1,0,0]=>3 [1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,0,1,0,0]=>4 [1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,0,1,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,0,1,0,0]=>2 [1,1,1,0,1,0,0,1,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,0,1,0,0]=>4 [1,1,1,0,1,0,0,1,1,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,0,1,0,0]=>4 [1,1,1,0,1,0,0,1,1,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,0,1,0,0]=>3 [1,1,1,0,1,0,0,1,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,0,1,0,0]=>3 [1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>[1,1,0,0,1,1,1,0,0,1,1,0,0,0]=>2 [1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>[1,1,0,0,1,1,0,1,0,1,1,0,0,0]=>3 [1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,0,1,0,0,0]=>3 [1,1,1,0,1,0,1,0,0,1,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,0,1,0,0,0]=>2 [1,1,1,0,1,0,1,0,0,1,1,0,0,0]=>[1,1,0,0,1,1,0,1,1,0,1,0,0,0]=>3 [1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>[1,1,0,0,1,1,1,0,1,1,0,0,0,0]=>2 [1,1,1,0,1,0,1,0,1,0,0,1,0,0]=>[1,1,0,0,1,1,1,1,0,1,0,0,0,0]=>2 [1,1,1,0,1,0,1,0,1,0,1,0,0,0]=>[1,1,0,0,1,1,1,1,1,0,0,0,0,0]=>1 [1,1,1,0,1,0,1,0,1,1,0,0,0,0]=>[1,1,0,0,1,1,0,1,1,1,0,0,0,0]=>2 [1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>[1,1,0,0,1,0,1,0,1,1,1,0,0,0]=>3 [1,1,1,0,1,0,1,1,0,0,0,1,0,0]=>[1,1,0,0,1,0,1,1,0,1,1,0,0,0]=>3 [1,1,1,0,1,0,1,1,0,0,1,0,0,0]=>[1,1,0,0,1,0,1,1,1,0,1,0,0,0]=>3 [1,1,1,0,1,0,1,1,0,1,0,0,0,0]=>[1,1,0,0,1,0,1,1,1,1,0,0,0,0]=>2 [1,1,1,0,1,0,1,1,1,0,0,0,0,0]=>[1,1,0,0,1,1,0,0,1,1,1,0,0,0]=>2 [1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>[1,1,0,1,0,1,1,0,0,0,1,1,0,0]=>3 [1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>[1,1,0,1,0,1,0,1,0,0,1,1,0,0]=>4 [1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,0,1,1,0,0]=>4 [1,1,1,0,1,1,0,0,0,1,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,0,1,1,0,0]=>3 [1,1,1,0,1,1,0,0,0,1,1,0,0,0]=>[1,1,0,1,0,1,0,0,1,0,1,1,0,0]=>4 [1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,0,1,0,0]=>4 [1,1,1,0,1,1,0,0,1,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,0,1,0,0]=>4 [1,1,1,0,1,1,0,0,1,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,0,1,0,0]=>3 [1,1,1,0,1,1,0,0,1,1,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,0,1,0,0]=>4 [1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>[1,1,0,1,0,0,1,0,1,1,1,0,0,0]=>3 [1,1,1,0,1,1,0,1,0,0,0,1,0,0]=>[1,1,0,1,0,0,1,1,0,1,1,0,0,0]=>3 [1,1,1,0,1,1,0,1,0,0,1,0,0,0]=>[1,1,0,1,0,0,1,1,1,0,1,0,0,0]=>3 [1,1,1,0,1,1,0,1,0,1,0,0,0,0]=>[1,1,0,1,0,0,1,1,1,1,0,0,0,0]=>2 [1,1,1,0,1,1,0,1,1,0,0,0,0,0]=>[1,1,0,1,0,1,0,0,1,1,1,0,0,0]=>3 [1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>[1,1,0,1,1,0,1,0,0,0,1,1,0,0]=>3 [1,1,1,0,1,1,1,0,0,0,0,1,0,0]=>[1,1,0,1,1,0,0,1,0,0,1,1,0,0]=>3 [1,1,1,0,1,1,1,0,0,0,1,0,0,0]=>[1,1,0,1,1,0,0,0,1,0,1,1,0,0]=>3 [1,1,1,0,1,1,1,0,0,1,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,0,1,0,0]=>3 [1,1,1,0,1,1,1,0,1,0,0,0,0,0]=>[1,1,0,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,1,1,0,1,1,1,1,0,0,0,0,0,0]=>[1,1,0,1,1,1,0,0,0,0,1,1,0,0]=>2 [1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>[1,1,1,0,1,1,1,0,0,0,0,0,1,0]=>2 [1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>[1,1,1,0,1,1,0,1,0,0,0,0,1,0]=>3 [1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>[1,1,1,0,1,0,1,0,1,0,0,0,1,0]=>4 [1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>[1,1,1,0,1,0,1,1,0,0,0,0,1,0]=>3 [1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>[1,1,1,0,1,1,0,0,1,0,0,0,1,0]=>3 [1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,1,0,0,1,0]=>3 [1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,1,0,0,1,0]=>4 [1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>[1,1,1,0,0,1,1,0,1,0,0,0,1,0]=>3 [1,1,1,1,0,0,0,1,0,1,0,1,0,0]=>[1,1,1,0,0,1,1,1,0,0,0,0,1,0]=>2 [1,1,1,1,0,0,0,1,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,1,1,0,0,0,1,0]=>3 [1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,1,0,0,1,0]=>4 [1,1,1,1,0,0,0,1,1,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,1,0,0,1,0]=>4 [1,1,1,1,0,0,0,1,1,0,1,0,0,0]=>[1,1,1,0,1,0,0,1,1,0,0,0,1,0]=>3 [1,1,1,1,0,0,0,1,1,1,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,1,0,0,1,0]=>3 [1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,0,1,0]=>3 [1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,0,1,0]=>4 [1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,0,1,0]=>4 [1,1,1,1,0,0,1,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,0,1,0]=>3 [1,1,1,1,0,0,1,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,0,1,0]=>4 [1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,0,1,0]=>3 [1,1,1,1,0,0,1,0,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,0,1,0]=>3 [1,1,1,1,0,0,1,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,0,1,0]=>2 [1,1,1,1,0,0,1,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,0,1,0]=>3 [1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,0,1,0]=>4 [1,1,1,1,0,0,1,1,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,0,1,0]=>4 [1,1,1,1,0,0,1,1,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,0,1,0]=>4 [1,1,1,1,0,0,1,1,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,0,1,0]=>3 [1,1,1,1,0,0,1,1,1,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,0,1,0]=>3 [1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>[1,1,1,0,0,1,1,0,0,0,1,1,0,0]=>2 [1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>[1,1,1,0,0,1,0,1,0,0,1,1,0,0]=>3 [1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,0,1,1,0,0]=>3 [1,1,1,1,0,1,0,0,0,1,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,0,1,1,0,0]=>2 [1,1,1,1,0,1,0,0,0,1,1,0,0,0]=>[1,1,1,0,0,1,0,0,1,0,1,1,0,0]=>3 [1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,0,1,0,0]=>3 [1,1,1,1,0,1,0,0,1,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,0,1,0,0]=>3 [1,1,1,1,0,1,0,0,1,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,0,1,0,0]=>2 [1,1,1,1,0,1,0,0,1,1,0,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,0,1,0,0]=>3 [1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>[1,1,1,0,0,0,1,0,1,1,1,0,0,0]=>2 [1,1,1,1,0,1,0,1,0,0,0,1,0,0]=>[1,1,1,0,0,0,1,1,0,1,1,0,0,0]=>2 [1,1,1,1,0,1,0,1,0,0,1,0,0,0]=>[1,1,1,0,0,0,1,1,1,0,1,0,0,0]=>2 [1,1,1,1,0,1,0,1,0,1,0,0,0,0]=>[1,1,1,0,0,0,1,1,1,1,0,0,0,0]=>1 [1,1,1,1,0,1,0,1,1,0,0,0,0,0]=>[1,1,1,0,0,1,0,0,1,1,1,0,0,0]=>2 [1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>[1,1,1,0,1,0,1,0,0,0,1,1,0,0]=>3 [1,1,1,1,0,1,1,0,0,0,0,1,0,0]=>[1,1,1,0,1,0,0,1,0,0,1,1,0,0]=>3 [1,1,1,1,0,1,1,0,0,0,1,0,0,0]=>[1,1,1,0,1,0,0,0,1,0,1,1,0,0]=>3 [1,1,1,1,0,1,1,0,0,1,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,0,1,0,0]=>3 [1,1,1,1,0,1,1,0,1,0,0,0,0,0]=>[1,1,1,0,1,0,0,0,1,1,1,0,0,0]=>2 [1,1,1,1,0,1,1,1,0,0,0,0,0,0]=>[1,1,1,0,1,1,0,0,0,0,1,1,0,0]=>2 [1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>[1,1,1,1,0,1,1,0,0,0,0,0,1,0]=>2 [1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>[1,1,1,1,0,1,0,1,0,0,0,0,1,0]=>3 [1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>[1,1,1,1,0,0,1,0,1,0,0,0,1,0]=>3 [1,1,1,1,1,0,0,0,0,1,0,1,0,0]=>[1,1,1,1,0,0,1,1,0,0,0,0,1,0]=>2 [1,1,1,1,1,0,0,0,0,1,1,0,0,0]=>[1,1,1,1,0,1,0,0,1,0,0,0,1,0]=>3 [1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,1,0,0,1,0]=>3 [1,1,1,1,1,0,0,0,1,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,1,0,0,1,0]=>3 [1,1,1,1,1,0,0,0,1,0,1,0,0,0]=>[1,1,1,1,0,0,0,1,1,0,0,0,1,0]=>2 [1,1,1,1,1,0,0,0,1,1,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,1,0,0,1,0]=>3 [1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,0,1,0]=>3 [1,1,1,1,1,0,0,1,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,0,1,0]=>3 [1,1,1,1,1,0,0,1,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,0,1,0]=>3 [1,1,1,1,1,0,0,1,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,0,1,0]=>2 [1,1,1,1,1,0,0,1,1,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,0,1,0]=>3 [1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>[1,1,1,1,0,0,1,0,0,0,1,1,0,0]=>2 [1,1,1,1,1,0,1,0,0,0,0,1,0,0]=>[1,1,1,1,0,0,0,1,0,0,1,1,0,0]=>2 [1,1,1,1,1,0,1,0,0,0,1,0,0,0]=>[1,1,1,1,0,0,0,0,1,0,1,1,0,0]=>2 [1,1,1,1,1,0,1,0,0,1,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,0,1,0,0]=>2 [1,1,1,1,1,0,1,0,1,0,0,0,0,0]=>[1,1,1,1,0,0,0,0,1,1,1,0,0,0]=>1 [1,1,1,1,1,0,1,1,0,0,0,0,0,0]=>[1,1,1,1,0,1,0,0,0,0,1,1,0,0]=>2 [1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>[1,1,1,1,1,0,1,0,0,0,0,0,1,0]=>2 [1,1,1,1,1,1,0,0,0,0,0,1,0,0]=>[1,1,1,1,1,0,0,1,0,0,0,0,1,0]=>2 [1,1,1,1,1,1,0,0,0,0,1,0,0,0]=>[1,1,1,1,1,0,0,0,1,0,0,0,1,0]=>2 [1,1,1,1,1,1,0,0,0,1,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,1,0,0,1,0]=>2 [1,1,1,1,1,1,0,0,1,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,0,1,0]=>2 [1,1,1,1,1,1,0,1,0,0,0,0,0,0]=>[1,1,1,1,1,0,0,0,0,0,1,1,0,0]=>1 [1,1,1,1,1,1,1,0,0,0,0,0,0,0]=>[1,1,1,1,1,1,0,0,0,0,0,0,1,0]=>1
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Description
The number of indecomposable projective-injective modules of a magnitude 1 Nakayama algebra.
We use the bijection in the code by Christian Stump to have a bijection to Dyck paths.
Map
Knuth-Krattenthaler
Description
The map that sends the Dyck path to a 321-avoiding permutation, then applies the Robinson-Schensted correspondence and finally interprets the first row of the insertion tableau and the second row of the recording tableau as up steps.
Interpreting a pair of two-row standard tableaux of the same shape as a Dyck path is explained by Knuth in [1, pp. 60].
Krattenthaler's bijection between Dyck paths and $321$-avoiding permutations used is Mp00119to 321-avoiding permutation (Krattenthaler), see [2].
This is the inverse of the map Mp00127left-to-right-maxima to Dyck path that interprets the left-to-right maxima of the permutation obtained from Mp00024to 321-avoiding permutation as a Dyck path.