\(ABCD\) is a square. Sides \(AD\) and \(DC\) are extended to \(E\) and \(F\) respectively such that \(DE=AD\) and \(CF=DC\). \(BE\) and \(AF\) intersect at point \(O\). If \(\frac{OE}{OB} = \frac{m}{n}\); where \(m\) and \(n\) are relatively prime, then find \(m+n\).

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