Question: Study heapsort. a. Construct a heap for the list P, R, O, G, R, A, M by either the top-down or the bottom-up algorithm b.

Study heapsort.

a. Construct a heap for the list P, R, O, G, R, A, M by either the top-down or the bottom-up algorithm

b. Apply heapsort to sort the above list. Show the intermediate heap of each step.

c. Discuss the best case, worst case, and average case of heapsort

d. Is heap sort stable? Why? If not, give a counterexample.

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