True or false: Given a BST, let (x) be a leaf node, and let (p) be its

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True or false: Given a BST, let \(x\) be a leaf node, and let \(p\) be its parent. Then either (1) the key of \(p\) is the smallest key in the BST larger than the key of \(x\) or (2) the key of \(p\) is the largest key in the BST smaller than the key of \(x\).

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