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Question 1. (25 points) Consider the following array {5, 8, 10, 22, 14, 18, 19, 20}. a) Illustrate the operation of the O(n) MAKEHEAP algorithm to build a max-heap. (show your steps) b) After part (a) delete the 2nd element (H[2]). c) After part (b) insert an element with value of 100