Question: 4. (25 points) Consider an n-node complete binary tree T. Each node v in T is labeled with a real number x^. Suppose that all

4. (25 points) Consider an n-node complete binary tree T. Each

4. (25 points) Consider an n-node complete binary tree T. Each node v in T is labeled with a real number x^. Suppose that all the labels are distinct. A node v is a local minimum if the label Xv is less than the label xw for all nodes w that are joined to v by an edge. You are given such a complete binary tree T, but the labeling is only specified in the following implicit way: for each node v, you can only know xv by probing v. Show how to find a local minimum of T using only O(log n) probes to the nodes of T

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