Question

    Which of the following sorting algorithms is NOT stable? 

    A Merge Sort Correct Answer Incorrect Answer
    B Bubble Sort Correct Answer Incorrect Answer
    C Quick Sort Correct Answer Incorrect Answer
    D Insertion Sort Correct Answer Incorrect Answer
    E Tim Sort Correct Answer Incorrect Answer

    Solution

    Quick Sort is not a stable sorting algorithm. Stability in sorting algorithms means that equal elements retain their relative order before and after sorting. Quick Sort does not guarantee this behavior because, during partitioning, equal elements may get swapped in such a way that their relative order is not preserved. Although Quick Sort is an efficient comparison-based sorting algorithm with an average time complexity of O(n log n), its lack of stability makes it unsuitable for cases where maintaining relative order of equivalent elements is crucial. Why Other Options are Incorrect: A) Merge Sort: This is a stable sorting algorithm as it ensures that the relative order of equal elements remains unchanged. B) Bubble Sort: Bubble Sort is stable as elements are swapped only if necessary. D) Insertion Sort: Insertion Sort is stable because it inserts equal elements in their original order. E) Tim Sort: Tim Sort is a stable sorting algorithm, combining Merge Sort and Insertion Sort properties.

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