Bracket Sequence  LP Input  Output  Geometric Representation 
( )  bracket(0,1). bracket(1,1). 
black_squares(1).  
( ( ( ) ) )  bracket(0,1). bracket(1,1). bracket(2,1). bracket(3,1). bracket(4,1). bracket(5,1). 
black_squares(10). 

( ( ) ) ( ( ) ( ( ) ) )  bracket(0,1). bracket(1,1). bracket(2,1). bracket(3,1). bracket(4,1). bracket(5,1). bracket(6,1). bracket(7,1). bracket(8,1). bracket(9,1). bracket(10,1). bracket(11,1). 
black_squares(20).  
( ( ( ) ( ( ) ) ) ) 
bracket(0,1).
bracket(1,1). bracket(2,1). bracket(3,1). bracket(4,1). bracket(5,1). bracket(6,1). bracket(7,1). bracket(8,1). bracket(9,1). 
black_squares(21).  
( ( ( ) ) ( ) ) ( ) 
bracket(0,1).
bracket(1,1). bracket(2,1). bracket(3,1). bracket(4,1). bracket(5,1). bracket(6,1). bracket(7,1). bracket(8,1). bracket(9,1). 
black_squares(16).  
( ( ( ( ) ( ) ) ) ( ) ) 
bracket(0,1).
bracket(1,1). bracket(2,1). bracket(3,1). bracket(4,1). bracket(5,1). bracket(6,1). bracket(7,1). bracket(8,1). bracket(9,1). bracket(10,1). bracket(11,1). 
black_squares(30).  
( ) ( ( ) ) ( ( ( ) ) ) 
bracket(0,1).
bracket(1,1). bracket(2,1). bracket(3,1). bracket(4,1). bracket(5,1). bracket(6,1). bracket(7,1). bracket(8,1). bracket(9,1). bracket(10,1). bracket(11,1). 
black_squares(16).  
( ( ( ) ) ( ( ( ) ( ) ( ) ) ) ) 
bracket(0,1).
bracket(1,1). bracket(2,1). bracket(3,1). bracket(4,1). bracket(5,1). bracket(6,1). bracket(7,1). bracket(8,1). bracket(9,1). bracket(10,1). bracket(11,1). bracket(12,1). bracket(13,1). bracket(14,1). bracket(15,1). 
black_squares(39). 