# What is merge sort algorithm with example?

## What is merge sort algorithm with example?

Merge sort is one of the most efficient sorting algorithms. It works on the principle of Divide and Conquer. Merge sort repeatedly breaks down a list into several sublists until each sublist consists of a single element and merging those sublists in a manner that results into a sorted list.

### How do you use merge sort?

Merge Sort

1. Divide the unsorted list into sublists, each containing element.
2. Take adjacent pairs of two singleton lists and merge them to form a list of 2 elements. N. will now convert into lists of size 2.
3. Repeat the process till a single sorted list of obtained.

What is merge sort in C with example?

Advertisements. Merge sort is a sorting technique based on divide and conquer technique. With the worst-case time complexity being Ο(n log n), it is one of the most respected algorithms.

Which is best sorting algorithm?

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 are the advantages of merge sort?

• It is quicker for larger lists because unlike insertion and bubble sort it doesnt go through the whole list seveal times.
• It has a consistent running time, carries out different bits with similar times in a stage.

### Why is quicksort better than mergesort?

Quicksort usually is better than mergesort for two reasons: Quicksort has better locality of reference than mergesort, which means that the accesses performed in quicksort are usually faster than the corresponding accesses in mergesort.

What is the best 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.

How *exactly* does this merge sort work?

Conceptually, merge sort works as follows in recursive fashion: Divide the unsorted list into two sublists of about half the size Sort each of the two sublists Merge the two sorted sublists back into one sorted list

## What are the applications of merge sort?

Merge Sort is useful for sorting linked lists in O (nLogn) time.

• It is used in Inversion Count Problem.
• We can use it in External Sorting.