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I'm asking if bubble sort a stable sort and please give me proof on it.?
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I'm asking if bubble sort a stable sort and please give me proof on it...
Is Bubble Sort a Stable Sort?
Definition of Stable Sort
- A stable sort is a sorting algorithm where the relative order of equal elements is preserved in the sorted output.
Proof that Bubble Sort is a Stable Sort
- In Bubble Sort, when two elements are swapped, the condition for swapping is that the element on the right is smaller than the element on the left.
- If two elements are equal during the comparison, they are not swapped. This ensures that the relative order of equal elements remains the same in the sorted output.
- Since Bubble Sort only swaps adjacent elements when they are out of order, it does not change the relative order of equal elements.
- Therefore, Bubble Sort is a stable sort.
Conclusion
- Bubble Sort is a stable sorting algorithm as it maintains the relative order of equal elements in the sorted output.
Definition of Stable Sort
- A stable sort is a sorting algorithm where the relative order of equal elements is preserved in the sorted output.
Proof that Bubble Sort is a Stable Sort
- In Bubble Sort, when two elements are swapped, the condition for swapping is that the element on the right is smaller than the element on the left.
- If two elements are equal during the comparison, they are not swapped. This ensures that the relative order of equal elements remains the same in the sorted output.
- Since Bubble Sort only swaps adjacent elements when they are out of order, it does not change the relative order of equal elements.
- Therefore, Bubble Sort is a stable sort.
Conclusion
- Bubble Sort is a stable sorting algorithm as it maintains the relative order of equal elements in the sorted output.
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I'm asking if bubble sort a stable sort and please give me proof on it.? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about I'm asking if bubble sort a stable sort and please give me proof on it.? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for I'm asking if bubble sort a stable sort and please give me proof on it.?.
I'm asking if bubble sort a stable sort and please give me proof on it.? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about I'm asking if bubble sort a stable sort and please give me proof on it.? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for I'm asking if bubble sort a stable sort and please give me proof on it.?.
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