Bubble Sort is a basic sorting algorithm that works by repeatedly comparing and swapping adjacent elements until a list is sorted. It's ideal for small or nearly sorted datasets and serves as an educational tool for teaching sorting principles. While it has a low memory footprint and can quickly identify a sorted list, its average time complexity of O(n^2) makes it less suitable for large datasets, where algorithms like Quick Sort or Merge Sort are preferred.
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Bubble Sort is a simple and methodical approach to ordering elements in a list
Swapping adjacent elements
Bubble Sort compares adjacent elements and swaps them if they are not in the intended order
Multiple iterations until list is sorted
The algorithm iterates over the list multiple times until no further swaps are necessary, indicating a sorted list
Bubble Sort is named for the way larger elements gradually move up the list while smaller elements descend, resembling bubbles rising in a liquid
Bubble Sort compares adjacent elements and swaps them if necessary, repeating the process until the end of the list is reached
With each complete pass, the largest unsorted element is relocated to its appropriate position, mimicking the ascent of a bubble to the surface
The time complexity of Bubble Sort is \(O(n^{2})\) in the worst-case scenario and \(O(n)\) in the best-case scenario
An optimized version of Bubble Sort uses a flag to monitor swaps and terminates early if no swaps are made, reducing the time complexity to \(O(n)\)
Advantages
Bubble Sort has a simple implementation, minimal memory usage, and can identify an already sorted list, making it a stable sort
Disadvantages
Bubble Sort is less efficient for large datasets and is generally outperformed by more complex sorting algorithms
Bubble Sort is most effective for small or nearly sorted datasets and is useful for educational purposes
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Characteristic of Bubble Sort
Simple, methodical, compares and swaps adjacent items.
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Bubble Sort Iteration Process
Repeatedly passes through the list until no swaps needed.
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Bubble Sort Completion Indicator
No further swaps during a pass means the list is sorted.
