O(n*n)
Time complexity gives an indication of the time an algorithm will complete its task. However, it is merely an indication; two algorithms with the same time complexity won't necessarily take the same amount of time to complete. For instance, comparing two primitive values is a constant-time operation. Swapping those values is also a constant-time operation, however a swap requires more individual operations than a comparison does, so a swap will take longer even though the time complexity is exactly the same.
Bubble sort is also known as sinking sort.
If the range of numbers is 1....n and the size of numbers is k(small no.) then the time complexity will be theta n log..
quick sort has a best case time complexity of O(nlogn) and worst case time complexity of 0(n^2). the best case occurs when the pivot element choosen as the center or close to the center element of the list.the time complexity can be derived for this case as: t(n)=2*t(n/2)+n. whereas the worst case time complexity for quick sort happens when the pivot element is towards the end of the list.the time complexity for this can be derived using the recurrence eqn: t(n)=t(n-1)+n
This is false. The movement described is a disadvantageof bubble sort.
The time complexity of the best case scenario for Bubble Sort is O(n), where n is the number of elements in the array.
The average case time complexity of the Bubble Sort algorithm is O(n2), where n is the number of elements in the array being sorted.
The best case scenario for the bubble sort algorithm is when the list is already sorted. In this case, the time complexity is O(n), where n is the number of elements in the list.
Time complexity Best case: The best case complexity of bubble sort is O(n). When sorting is not required, all the elements are already sorted. Average case: The average case complexity of bubble sort is O(n*n). It occurs when the elements are jumbled, neither properly ascending nor descending. Worst case: The worst-case complexity of bubble sort is O(n*n). It occurs when the array elements are needed to be sorted in reverse order. Space complexity In the bubble sort algorithm, space complexity is O(1) as an extra variable is needed for swapping.
The best-case time complexity of the Bubble Sort algorithm is O(n), where n is the number of elements in the array. This occurs when the array is already sorted. The worst-case time complexity is O(n2), which happens when the array is sorted in reverse order.
Bubble Sort is considered to have a time complexity of O(n2) because it compares each element in the list with every other element, resulting in a nested loop structure that requires n iterations for each of the n elements in the list, leading to a quadratic time complexity.
Some examples of algorithms that exhibit quadratic time complexity include bubble sort, selection sort, and insertion sort. These algorithms have a time complexity of O(n2), meaning that the time it takes to execute them increases quadratically as the input size grows.
The best case scenario for bubble sort in terms of time complexity is O(n), where n represents the number of elements in the array. This occurs when the array is already sorted, and no swaps are needed during the sorting process.
Bubble Sort has a time complexity of O(n2) because it compares each element in the list with every other element, resulting in a worst-case scenario where the number of comparisons grows quadratically with the size of the list. This makes it inefficient for large datasets.
The running time of the heap sort algorithm is O(n log n) in terms of time complexity.
The time complexity of the heap sort algorithm is O(n log n), where n is the number of elements in the input array.
The running time of the bubble sort algorithm is O(n2), where n is the number of elements in the array being sorted.