Question: 3. Given a sorted array A[1...n (a) write a divide and conquer algorithm that determines in O(Ign) if?i e l n(Ali]-i) (the integers in the

 3. Given a sorted array A[1...n (a) write a divide and

3. Given a sorted array A[1...n (a) write a divide and conquer algorithm that determines in O(Ign) if?i e l n(Ali]-i) (the integers in the array may be negative!) (b) Explain why your algorithm is correct (no need for a formal proof, just write an idea) (c) Write a recurrence relation that describes the running time of your algorithm. (d) solve your recurrence relation from the previous part

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