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Chapter 29.5, Problem 29.5.2CP
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Given Statement:

“A shortest path between two vertices unique if all edges has different weights”.

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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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