Largest i numbers in sorted order Given a set of n

Chapter 9, Problem 9-1

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Largest i numbers in sorted order Given a set of n numbers, we wish to find the i largest in sorted order using a comparison-based algorithm. Find the algorithm that implements each of the following methods with the best asymptotic worst-case running time, and analyze the running times of the algorithms in terms of n and i. a. Sort the numbers, and list the i largest. b. Build a max-priority queue from the numbers, and call EXTRACT-MAX i times. c. Use an order-statistic algorithm to find the ith largest number, partition around that number, and sort the i largest numbers.

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