Introduction To Algorithms, Third Edition (international Edition)
3rd Edition
ISBN: 9780262533058
Author: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, Clifford Stein
Publisher: TRILITERAL
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Chapter 8.1, Problem 2E
Program Plan Intro
To determine the asymptotic tight bound on
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Objective
Implement Bottom-Up Iterative MergeSort and analyze its efficiency compared to
recursive MergeSort. Unlike the recursive approach, which involves multiple function
calls and stack overhead, the bottom-up version sorts iteratively by merging small
subarrays first, reducing recursion depth and improving performance.
Task
1. Implement Bottom-Up Iterative MergeSort
о Start with single-element subarrays and iteratively merge them into larger
sorted sections.
Use a loop-based merging process instead of recursion.
○ Implement an efficient in-place merging strategy if possible.
2. Performance Analysis
Compare execution time with recursive MergeSort on random, nearly
sorted, and reversed datasets.
○ Measure and plot time complexity vs. input size.
O
Submission
Explain why the iterative version reduces function call overhead and when
it performs better.
•
Code implementation with comments.
•
A short report (1-2 pages) comparing performance.
•
Graph of execution time vs. input size for…
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Introduction To Algorithms, Third Edition (international Edition)
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