# What is the best case time complexity of merge sort?

## What is the best case time complexity of merge sort?

7. What will be the best case time complexity of merge sort? Explanation: The time complexity of merge sort is not affected in any case as its algorithm has to implement the same number of steps. So its time complexity remains to be O(n log n) even in the best case.

### What is the best case and worst case complexity of merge sort?

Difference between QuickSort and MergeSort

QUICK SORT MERGE SORT
Worst-case time complexity is O(n2) Worst-case time complexity is O(n log n)
It takes less n space than merge sort It takes more n space than quicksort

#### What is the complexity of the merge sort?

Merge Sort is a stable sort which means that the same element in an array maintain their original positions with respect to each other. Overall time complexity of Merge sort is O(nLogn). It is more efficient as it is in worst case also the runtime is O(nlogn) The space complexity of Merge sort is O(n).

What is the complexity of merge sort in average case?

Sorting algorithms

Algorithm Data structure Time complexity:Average
Merge sort Array O(n log(n))
Heap sort Array O(n log(n))
Smooth sort Array O(n log(n))
Bubble sort Array O(n2)

Is Big O notation the worst case?

Big-O, commonly written as O, is an Asymptotic Notation for the worst case, or ceiling of growth for a given function. It provides us with an asymptotic upper bound for the growth rate of the runtime of an algorithm.

## What is average best and worst case complexity?

In the simplest terms, for a problem where the input size is n: Best case = fastest time to complete, with optimal inputs chosen. For example, the best case for a sorting algorithm would be data that’s already sorted. Worst case = slowest time to complete, with pessimal inputs chosen.

### What is the average case complexity of bubble sort?

Bubble sort has a worst-case and average complexity of О(n2), 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).

#### Why is big O not worst case?

Big-O is often used to make statements about functions that measure the worst case behavior of an algorithm, but big-O notation doesn’t imply anything of the sort. The important point here is we’re talking in terms of growth, not number of operations.

Which of the following is the fastest growing complexity?

Types of Big O Notations:

• Constant-Time Algorithm – O (1) – Order 1: This is the fastest time complexity since the time it takes to execute a program is always the same.
• Linear-Time Algorithm – O(n) – Order N: Linear Time complexity completely depends on the input size i.e directly proportional.

How to calculate time complexity of merge sort?

Note that the “best case” is the “best case” for general n, and not a specific size. how about the time complexity of bottom-up merge sort in worst case, best case and average case. The same approach can give you O (n) best case to bottom up (simple pre processing).

## Which is better merge sort or quicksort worst case?

In the worst case, merge sort uses approximately 39% fewer comparisons than quicksort does in its average case, and in terms of moves, merge sort’s worst case complexity is O (n log n) – the same complexity as quicksort’s best case.

### What is best, average, worst case complexities of merge and quick?

1.Merge sort(Average, Best, Worst) = O(n * logn) Also, Merge sort is not inplace (uses more space than the size of the given array cause it uses an extra array to hold the new sorted array) but stable (does not shuffle the position of same elements i.e…

#### Which is sorting algorithm has best asymptotic run time complexity?

For Best case Insertion Sort and Heap Sort are the Best one as their best case run time complexity is O (n). For average case best asymptotic run time complexity is O (nlogn) which is given by Merge Sort, Heap Sort, Quick Sort. For Worst Case best run time complexity is O (nlogn) which is given by Merge Sort, Heap Sort.