The Bubble Sort algorithmgoes through an array ofnnvaluesn−1n−1times in a worst case scenario. The first time the algorithm runs through the array, every value is compared to the next, and swaps the values i
Worst and Average Case Time Complexity:O(n*n). Worst case occurs when array is reverse sorted. Best Case Time Complexity:O(n). Best case occurs when array is already sorted. Auxiliary Space:O(1) Boundary Cases:Bubble sort takes minimum time (Order of n) when elements are already sorted....
In the recursive approach, we have to call the function bubble sort until the array does not sort. In every function call, we have to place the largest element from the array at the unsorted array. Time Complexity: O(n2) Time taken to sort the array using bubble sort in the recursive ...
Average Case: O(n^2) – Because bubble sort relies on comparisons and nested loops, it operates at a quadratic pace on average. Space Complexity:Space complexity refers to the amount of memory space required by an algorithm in relation to its input size, describing how the space usage grows...
The time complexity in the best case is O(n). Average Case The average case occurs when the array is in random order. In this case, bubble sort performs both comparisons and swaps. The time complexity in the average case is O(n^2). Worst Case The worst case occurs when the array ...
If we want to sort in ascending order and the array is in descending order then the worst case occurs. Best Case Complexity:O(n) If the array is already sorted, then there is no need for sorting. Average Case Complexity:O(n2)
small amounts of data, Bubble sort implementation is based on swapping the adjacent elements repeatedly if they are not sorted. Bubble sort's time complexity in both of the cases (average and worst-case) is quite high. For large amounts of data, the use of Bubble sort is not recommended...
Time Complexity: Average Case: O(n^2) Worst Case: O(n^2) - This occurs when the array is sorted in reverse order. Best Case: O(n) - This occurs when the array is already sorted. Space Complexity: O(1), since the sorting is done in place without using additional memory. ...
(n2), wherenis the number of items being sorted. There exist many sorting algorithms with substantially better worst-case or average complexity ofO(nlogn). Even otherО(n2) sorting algorithms, such as insertion sort, tend to have better performance than bubble sort. Therefore, bubble sort is ...
In the worst case scenario and average case time complexity the array is in reverse order so in this situation it has O(n2) time complexity. And in the optimal time complexity and in the ideal situation the array's time complexity is O(n) and it is already sorted. The auxiliary space ...