And the graph describing the Bubble Sort time complexity looks like this: As you can see, the run time increases really fast when the size of the array is increased. Luckily there are sorting algorithms that are
Average time complexity : O(n²) Space complexity : O(1) Stable : Yes Iterator Required : Random access iterator */ #include<algorithm> #include<functional> #include<vector> #include<iostream> #include<ctime> #include<Windows.h> //bubble_sort ...
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....
Bubble sort is the simplest sorting algorithm and is useful for 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 larg...
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...
2. What is the time and space complexity of Bubble Sort?The worst and best case time complexity of Bubble Sort is O(N), and the average case time complexity is O(N). The space complexity is O(1), as it requires only a constant amount of additional space.3. What is the nature of...
Average Case On average, n-i comparisons are made in the ith pass of bubble sort. So if there are n passes, then the average time complexity can be given by (n-1) + (n-2) + (n-3) ... + 1 = n*(n-1)/2 Hence the time complexity is of the order of O(n2). Worst...
The time complexity in the average case is O(n^2). Worst Case The worst case occurs when the array is sorted in reverse order. In this case, bubble sort performs the maximum number of comparisons and swaps. The time complexity in the worst case is O(n^2). Space Complexity The space...
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 ...