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Introduction to Bubble Sort

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Questions and Answers

What is the main idea of Bubble sort?

It splits the list into smaller sublists and sorts them individually.

It swaps adjacent elements if the element on the left is larger than the one on the right. (correct)

It sorts elements by repeatedly finding the minimum element.

It sorts elements from the highest value to the lowest value in a single pass.

What is the maximum number of traversals needed to sort a list using Bubble Sort?

n - 2

n - 1 (correct)

What is the worst-case time complexity of Bubble Sort?

O(n)

O(n log n)

O(log n)

O(n^2) (correct)

Why is the best-case complexity of Bubble Sort the same as the worst-case complexity?

<p>Every item must be checked against every other item regardless of the arrangement.</p> Signup and view all the answers

What is the largest number of swaps performed by Bubble Sort per item in the list?

<p>n - 1</p> Signup and view all the answers

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!