2015 AMC 10B Problems/Problem 24
Aaron the ant walks on the coordinate plane according to the following rules. He starts at the origin facing to the east and walks one unit, arriving at
. For
, right after arriving at the point
, if Aaron can turn
left and walk one unit to an unvisited point
, he does that. Otherwise, he walks one unit straight ahead to reach
. Thus the sequenc of points continues
, and so on in a counterclockwise spiral pattern. What is
?