Question 13
Consider the $x$-$y$ plane, where we adopt the convention that the positive x-direction is towards the right and the positive y-direction is upwards. An ant starts from the origin and crawls in the following manner:2 units left, followed by 3 units up, followed by 4 units right, followed by 2 units down. The ant then continues to move in the same pattern until it has moved a total of 2018 units. If the ant ends on the coordinate $(m,n)$, what is the value of $m+n$?