a. Give an algorithm to find all nodes less than some value, X, in a binary heap.Your

Chapter 6, Problem 6.10

(choose chapter or problem)

a. Give an algorithm to find all nodes less than some value, X, in a binary heap.Your algorithm should run in O(K), where K is the number of nodes output.b. Does your algorithm extend to any of the other heap structures discussed in thischapter? c. Give an algorithm that finds an arbitrary item X in a binary heap using at mostroughly 3N/4 comparisons.

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