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Building a heap using insertion We can build a heap by

Introduction to Algorithms | 3rd Edition | ISBN: 9780262033848 | Authors: Thomas H. Cormen ISBN: 9780262033848 130

Solution for problem 6-1 Chapter 6

Introduction to Algorithms | 3rd Edition

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Introduction to Algorithms | 3rd Edition | ISBN: 9780262033848 | Authors: Thomas H. Cormen

Introduction to Algorithms | 3rd Edition

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Problem 6-1

Building a heap using insertion We can build a heap by repeatedly calling MAX-HEAP-INSERT to insert the elements into the heap. Consider the following variation on the BUILD-MAX-HEAP procedure: for Chapter 6 167 BUILD-MAX-HEAP0 .A/ 1 A:heap-size D 1 2 for i D 2 to A:length 3 MAX-HEAP-INSERT.A; Ai/ a. Do the procedures BUILD-MAX-HEAP and BUILD-MAX-HEAP0 always create the same heap when run on the same input array? Prove that they do, or provide a counterexample. b. Show that in the worst case, BUILD-MAX-HEAP0 requires .n lg n/ time to build an n-element heap.

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Chapter 6, Problem 6-1 is Solved
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Textbook: Introduction to Algorithms
Edition: 3
Author: Thomas H. Cormen
ISBN: 9780262033848

Introduction to Algorithms was written by and is associated to the ISBN: 9780262033848. Since the solution to 6-1 from 6 chapter was answered, more than 375 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Introduction to Algorithms, edition: 3. This full solution covers the following key subjects: heap, max, build, insert, Insertion. This expansive textbook survival guide covers 35 chapters, and 151 solutions. The full step-by-step solution to problem: 6-1 from chapter: 6 was answered by , our top Engineering and Tech solution expert on 11/10/17, 05:55PM. The answer to “Building a heap using insertion We can build a heap by repeatedly calling MAX-HEAP-INSERT to insert the elements into the heap. Consider the following variation on the BUILD-MAX-HEAP procedure: for Chapter 6 167 BUILD-MAX-HEAP0 .A/ 1 A:heap-size D 1 2 for i D 2 to A:length 3 MAX-HEAP-INSERT.A; Ai/ a. Do the procedures BUILD-MAX-HEAP and BUILD-MAX-HEAP0 always create the same heap when run on the same input array? Prove that they do, or provide a counterexample. b. Show that in the worst case, BUILD-MAX-HEAP0 requires .n lg n/ time to build an n-element heap.” is broken down into a number of easy to follow steps, and 94 words.

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