Question: You are given an infinite array A in which the first n cells contain integers in sorted order and the rest of the cells are

You are given an infinite array A in which the first n cells contain integers in sorted order and the rest of the cells are filled with . You are not given the value of n. Design an algorithm that takes an integer x as input and finds a position in the array containing x, if such a position exists. Your algorithm should run in O(logn) time. Argue the correctness of your algorithm, and give analysis why your algorithm runs in O(logn) time.

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