In triangle \(ABC\), point \(D\) is on \(\overline{BC}\) with \(CD=2\) and \(DB=5\), point \(E\) is on \(\overline{AC}\) with \(CE=1\) and \(EA=3\), \(AB=8\), and \(\overline{AD}\) and \(\overline{BE}\) intersect at \(P\). Points \(Q\) and \(R\) lie on \(\overline{AB}\) so that \(\overline{PQ}\) is parallel to \(\overline{CA}\) and \(\overline{PR}\) is parallel to \(\overline{CB}\). It is given that the ratio of the area of triangle \(PQR\) to the area of triangle \(ABC\) is \(m/n\), where \(m\) and \(n\) are relatively prime positive integers. Find \(m+n\).

(第二十届AIME2 2002 第13题)