Question: 1. (a) You are given two inputs: an integer k and an array A of n distinct integers. Give an algorithm to find any one

1. (a) You are given two inputs: an integer k and

1. (a) You are given two inputs: an integer k and an array A of n distinct integers. Give an algorithm to find any one of the k smallest elements of A using at most n - k comparisons. (b) Explain why your algorithm is guaranteed to find a correct answer. (c) Professor F. Lake claims he has an algorithm that uses strictly fewer than n k comparisons to solve this problem. Do you believe his claim? Either explain why you think it's possible or explain why you think no such algorithm can exist

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