AMC 12B 2011 Problem 23

A bug travels in the coordinate plane, moving only along the lines that are parallel to the x-axis or y-axis. Let A=(-3,2) and B=(3,-2). Consider all possible paths of the bug from A to B of length at most 20. How many points with integer coordinates lie on at least one of these paths?

Answer Choices
A. 161
B. 185
C. 195
D. 227
E. 255