On the coordinate plane, within the square (including boundary) with vertices $O(0,0), A(0,1), B(1,1), C(1,0)$, let $R$ be the region formed by points $P(x, y)$ satisfying the following condition: the set of all points at distance $|x - y|$ from point $P(x, y)$ is completely contained within the square $OABC$ (including boundary). The area of region $R$ is \underline{\hspace{2cm}}. (expressed as a fraction in lowest terms)