Question: We are given an array A of integers which is strictly increasing, i.e., A[i] < A[i+ 1]. Give a divide-and-conquer algorithm which outputs an index

We are given an array A of integers which is strictly increasing, i.e., A[i]< A[i+ 1]. Give a divide-and-conquer algorithm which outputs an index i such that A[i] = i, if one exists.If no such index exists, the algorithm outputs null. Formally analyze the runtime of your algorithm, giving a recurrence relation and a big oh bound on the runtime of your algorithm.You must use a divide and conquer strategy. You do not have to prove correctness.

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