Three lattice points (points with integer coordinates) are chosen at random with replacement (meaning you can select the same point more than once) in the interior of the square defined by $-99 \le x \le 100$ and also $-99 \le y \le 100$. The probability that the area of the triangle thus formed (which may be degenerate) is an integer can be expressed in the form $m/n$, where $m$ and $n$ are relatively prime positive integers. Find $m + n$.