Question: Suppose that we are given a sorted array of distinct integers A [ 1 , . . . , n ] and we want to

Suppose that we are given a sorted array of distinct integers A[1,..., n]
and we want to decide whether there is an index i for which A[i]= i.
(a) Describe a divide-and-conquer algorithm that solves this problem.
(b) Use the Master Theorem to estimate the running time of the algorithm
you described in part (a). Your algorithm should run in
O(log n) time. (20 points)

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