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(15 points) Let A be an array of n numbers. Use the algorithm Select(A, k) for finding the k-th smallest element of any array A of numbers to modify Quick Sort so that it runs in O(nlgn) time in the worst case. Write a pseudocode for the modified Quick Sort, and analyze its running time by describing its recurrence relation and solving it. You can use the algorithm/subroutine Select() as a black box in the modified Quick Sort. g

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