a. Prove that for binary heaps, buildHeap does at most 2N2 comparisons between elements. b. Show that

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a. Prove that for binary heaps, buildHeap does at most 2N−2 comparisons between elements.

b. Show that a heap of eight elements can be constructed in eight comparisons between heap elements.

c. Give an algorithm to build a binary heap in 13/8 N + O(logN) element comparisons.

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Data Structures and Algorithm Analysis in Java

ISBN: 978-0132576277

3rd edition

Authors: Mark A. Weiss

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Question Posted: Mar 06, 2018 09:45 AM

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a. Prove that for binary heaps, buildHeap does at most 2N2 comparisons between elements. b. Show that

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a We show that H N which is the sum of the heights of nodes in a complete binary tree of N nodes is N b N where b N is the number of ones in the binar...View the full answer

Data Structures and Algorithm Analysis in Java

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