(a) Consider a heap stored in an array a= [25, 17, 23, 14, 8, 21, 12, 7]. Write the updated array when we apply extractMax operation. (b) Consider the same heap a = [25, 17, 23, 14, 8, 21, 12, 7]. Write the updated array when we apply the operation insert (24). (c) Specify the best-case running time of extractMax() in a heap formed by n distinct items. If your answer is e(f(n)), you must provide an example, with large n, for which extractMax() takes (f(n)).
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