Question: (25 points) Suppose you are given an array A of length n that contains the integers 1,2,..., n, arranged in some unknown order, and that

(25 points) Suppose you are given an array A of length

(25 points) Suppose you are given an array A of length n that contains the integers 1,2,..., n, arranged in some unknown order, and that you want to find an integer a) Give a deterministic algorithm for solving this problem. What is the worst-case b) Give a randomized algorithm for solving this problem. What is the worst- i such that Al Vi. run-time complexity of your algorithm? case expected run-time complexity of your algorithm? (Formally prove your answer)

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