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Proposal: This new code improves the performance of the Bubble Sort Algorithm by a significant margin.
Problem: The earlier version of the Bubble Sort Code Snippet was taking a best case scenario of O(n^2) because the case where the array is already sorted was not being considered.
Improvements: The improved version of the code does the following things,
Correct Loop Structure: The nested loop structure has been revised to ensure proper sorting. The outer loop now uses a do-while construct, which iterates until the array is confirmed to be sorted thus reducing the time complexity if the array is already sorted. The inner loop handles the comparison and swapping of adjacent elements.
Early Termination: The implementation includes a sorted flag to allow the algorithm to terminate early if no swaps are made during a pass, indicating the array is already sorted. This optimization improves the best-case performance to O(n).
Reduced Range After Each Pass: The lastIndex variable is decremented after each pass to reduce the range of comparisons in subsequent iterations, as the largest elements bubble up to their correct positions.
Request: I would like to request to implement the proposed solution in the bubbleSort() function.