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 \(DR\).
Thank you!
