A token starts at the point (0,0) of an x y-coordinate grid and then makes a sequence of six moves. Each move is 1 unit in a direction parallel to one of the coordinate axes. Each move is selected randomly from the four possible directions and independently of the other moves. The probability the token ends at a point on the graph of |y|=|x| is \frac{m}{n}, where m and n are relatively prime positive integers. Find m+n.