Questions and Answers
What is the main idea of Bubble sort?
What is the maximum number of traversals needed to sort a list using Bubble Sort?
What is the worst-case time complexity of Bubble Sort?
Why is the best-case complexity of Bubble Sort the same as the worst-case complexity?
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What is the largest number of swaps performed by Bubble Sort per item in the list?
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Study Notes
Main Idea of Bubble Sort
- Bubble sort is a simple sorting algorithm that repeatedly steps through the list.
- It compares adjacent elements and swaps them if they are in the wrong order.
- The largest unsorted element moves to its correct position at the end of the list after each complete pass.
- The process is repeated until no swaps are needed, indicating that the list is sorted.
Performance and Complexity
- The maximum number of swaps per item can occur in the worst-case scenario where items are sorted in reverse order.
- Maximum number of traversals needed to fully sort the list is n - 1, where n is the number of items.
- Both the best-case and worst-case time complexities for bubble sort are O(n²).
- Worst-case complexity arises because each item must be compared against every other item.
- Best-case complexity remains O(n²) since the algorithm does not terminate early, requiring full iterations even if the list is already sorted.
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Description
This quiz explores the main idea of Bubble Sort, which involves iterating through a list and swapping adjacent numbers if they are out of order. It highlights the mechanics of sorting and the maximum number of swaps per item. Test your understanding of this fundamental sorting algorithm!
