\(ABCD\) is a square, and \(M\) and \(N\) are the midpoints of \(BC\) and \(CD\) respectively. Express \(\overrightarrow{AB}\), \(\overrightarrow{AC}\) and \(\overrightarrow{BD}\) in terms of \(\mathbf{p}\) and \(\mathbf{q}\), where \(\overrightarrow{AM}=\mathbf{p}\) and \(\overrightarrow{AN}=\mathbf{q}\).
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