Question: 3. (16 pts.) Sorted Array Given a sorted array A of n (possibly negative) distinct integers, you want to find out whether there is an

3. (16 pts.) Sorted Array Given a sorted array A of

3. (16 pts.) Sorted Array Given a sorted array A of n (possibly negative) distinct integers, you want to find out whether there is an index i for which A[i] = i. Give a divide-and-conquer algorithm that runs in time O(logn). Provide only the main idea and the runtime analysis. You can assume that n is a power of 2 for simplicity. (Hint: Look at the value of A[2] and decide how to recurse based on that)

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