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Consider the problem of finding the smallest and largest elements in an array of n numbers. a. Design a presorting-based algorithm for solving this problem

Consider the problem of finding the smallest and largest elements in an array of n numbers.

a. Design a presorting-based algorithm for solving this problem and determine its efficiency class.

b. Compare the efficiency of the three algorithms: (i) the brute-force algorithm, (ii) this presorting-based algorithm, and (iii) the divide-and-conquer algorithm.

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