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P3 (20pt): You are a contestant on the hit game show Beat Your Neighbors! You are presented with an length n array of boxes, each
P3 (20pt): You are a contestant on the hit game show "Beat Your Neighbors!" You are presented with an length n array of boxes, each containing a unique number. It costs $100 to open a box. Your goal is to find a box whose number is larger than its neighbors in the array (left and right). Describe an O(log n) algorithm that finds a number that is bigger than either of its neighbors
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