# What is the time complexity of merge sort?

## What is the time complexity of merge sort?

The time complexity of MergeSort is O(n*Log n) in all the 3 cases (worst, average and best) as the mergesort always divides the array into two halves and takes linear time to merge two halves.

### What will be the best case time complexity of merge sort?

What will be the best case time complexity of merge sort? Explanation: Merge sort’s time complexity is unaffected in any case since its algorithm must follow the same number of steps. Even in the best case, the time complexity remains O(n log n).

What is the time complexity equation and time complexity of 3 way merge sort?

By solving it using Master method, we get its complexity as O(n log 3n).. Although time complexity looks less compared to 2 way merge sort, the time taken actually may become higher because number of comparisons in merge function go higher.

What is the best case and worst case time 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 big O complexity for merge sort?

Important Characteristics of Merge Sort: 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 order of merge sort?

An example of merge sort. First divide the list into the smallest unit (1 element), then compare each element with the adjacent list to sort and merge the two adjacent lists. Finally all the elements are sorted and merged.

What is the big O complexity for quick sort?

Quicksort is a logarithmic-time algorithm, in other words, it has a Big O notation of O(log n)-(more about Big O Notation)- and depending on the way you implement it, it can be up to 2x or even 3x faster than Merge Sort or Heap Sort.

Which is the best algorithm for sorting?

Time Complexities of Sorting Algorithms:

Algorithm Best Worst
Bubble Sort Ω(n) O(n^2)
Merge Sort Ω(n log(n)) O(n log(n))
Insertion Sort Ω(n) O(n^2)
Selection Sort Ω(n^2) O(n^2)

## What will be the worst time complexity of merge sort?

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 the worst case for merge sort?

In the worst case, merge sort does about 39% fewer comparisons than quicksort does in the average case. In terms of moves, merge sort’s worst case complexity is O(n log n)—the same complexity as quicksort’s best case, and merge sort’s best case takes about half as many iterations as the worst case.

Is merge sort worse than heap sort?

Heap Sort is better :The Heap Sort sorting algorithm uses O(1) space for the sorting operation while Merge Sort which takes O(n) space Merge Sort is better * The merge sort is slightly faster than…