Task: Question Answering
Input (English): Problem: in the x - y plane , point ( x , y ) is a lattice point if both x and y are integers . a square has a center at ( 0 , 0 ) and side = 4 . some points , such as the center ( 0 , 0 ) , are inside the square , but a point such as ( 0 , 2 ) is on the square but not in the square . how many lattice points are in the square ? 
Options: a ) 10 , b ) 9 , c ) 8 , d ) 5 , e ) 12
Output (English): b