A cube whose side length is \(5\) is shown below. Let \(P\) be on edge \(\overline{AB}\) such that \(AP=2\) and let \(Q\) be on edge \(\overline{AE}\) such that \(AQ=1\). The plane passing through points \(C\), \(P\), and \(Q\) intersects \(\overline{DH}\) at \(R\). Find the length \(DR\).
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