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Chapter 23, Problem 23.12PE
Program Plan Intro

Radix sort

Program Plan:

  • Import the required packages.
  • Create a class “Sorting”:
    • Define the main method
      • New list gets created.
      • Loop that iterates to generate the numbers is defined.
      • Add the elements into the list.
      • Perform radix sort.
      • Display the elements.
    • Define a method “radixsort()”
      • New bucket list gets created.
        • Loop that iterates to add the elements into the bucket are created.
        • Loop that iterates to position the digits present in the bucket is defined.
        • Position and clear the bucket.
        • Loop that iterates for all digits and position the elements and add it to the bucket.
      • Define the method “getKey()”
        • Declare the required variables.
        • Loop that iterates to add the result.
        • Return the resultant digit.

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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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