Question: Please answer all parts Q4 (8 points) On the answer sheet, answer the following questions. (a) What is the worst-case time complexity of build-heap on

Please answer all parts Q4 (8 points) On the answer sheet,

Please answer all parts

Q4 (8 points) On the answer sheet, answer the following questions. (a) What is the worst-case time complexity of build-heap on n elements? (b) What is the worst-case time complexity of extract-max on a max-heap with n elements? (c) What is the worst-case time complexity of insertion onto a max-heap with n elements? (d) What is the worst-case time complexity of increase-key onto a max-heap with n ele- ments? (e) What is the worst-case time complexity of find-set in a disjoint set data structure, assuming we are using union by rank and find with path compression? (f) What is the worst-case time complexity of link in a disjoint set data structure, assuming we are using union by rank and find with path compression? (g) What is the worst-case time complexity of union in a disjoint set data structure, assuming we are using union by rank and find with path compression? (h) What is the worst-case time complexity of m operations of union, find, and make-set, including n make-set operations at the start

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