Which of the following is not a stable sorting algorithm?Insertion sort Selection sort Bubble sortMerge sort
Question
Which of the following is not a stable sorting algorithm?
- Insertion sort
- Selection sort
- Bubble sort
- Merge sort
Solution
Break Down the Problem
- List the provided sorting algorithms.
- Identify which of these algorithms are stable.
Relevant Concepts
- A stable sorting algorithm maintains the relative order of records with equal keys (i.e., values).
- Examples of stable sorting algorithms: Merge sort, Insertion sort.
- Examples of unstable sorting algorithms: Selection sort, Bubble sort.
Analysis and Detail
- Insertion Sort: Stable, as it does not change the order of equal elements.
- Selection Sort: Unstable, as it can change the order of equal elements.
- Bubble Sort: Stable, as it also maintains the order of equal elements when they are swapped.
- Merge Sort: Stable, as it combines sorted subarrays without losing the order of equal elements.
Verify and Summarize
Among the options, the only sorting algorithm which is not stable is Selection Sort.
Final Answer
Selection sort is not a stable sorting algorithm.
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