Category - anal
Bubble sort has a worst-case and average complexity of о(n ), where n is the number of items being sorted. Most practical sorting algorithms have substantially better worst-case or average complexity, often o(n log n). Even other о(n ) sorting algorithms, such as insertion sort, generally run faster than bubble sort, and are no more complex. (n - 1) n(n - 1)2 o(n 2) clearly, the graph shows the n 2 nature of the bubble sort. In this algorithm, the number of comparison is irrespective of the data set, i. Whether the provided input elements are in sorted order or in reverse order or at random. boundary cases bubble sort takes minimum time (order of n) when elements are already sorted. Due to its simplicity, bubble sort is often used to introduce the concept of a sorting algorithm. bubble sort is also efficient when one random element needs to be sorted into a sorted list, provided that new element is placed at the beginning and not at the end. When placed at the beginning, it will simply bubble up to the correct place, and the second iteration through the list will generate 0 swaps, ending the sort. Lets first talk about the non-optimized version of the bubble sort. Regardless of the input, the two loops and the if statements are going to execute every time. Only the execution of the swap statement will depend upon the input. Unlike with selection sort, bubble sort can terminate early -- if we break because a sweep didnt result in any two elements being swapped, the function returns faster. We know that bubble sort will not run for more than n sweeps (where n len(l)), just because the outer loop will not run for more than n iterations. Analyze the exact amount of comparisons and swaps for the best, average, and worst case of bubble sort. discussed bubble sort algorithm and its program with an example. Time complexity has also been calculated both in best case and worst case. Bubble sort is a simple, inefficient sorting algorithm used to sort lists. It is generally one of the first algorithms taught in computer science courses because it is a good algorithm to learn to build intuition about sorting. While sorting is a simple concept, it is a basic principle used in complex computer programs such as file search, data compression, and path finding.