We compare the elements of Array 1 and Array 2 and push them in Array 3 accordingly. Merge sorting takes one array (in the below example code), copies it into a duplicate array, divides the array in half and sorts each independently, uses recursion to sort the values, and then puts the sorted array back into the original data structure. Example: First Pass: ( 5 1 4 2 8 ) –> ( 1 5 4 2 8 ), Here, algorithm compares the first two elements, and swaps since 5 > 1. Background : Bubble Sort is the simplest sorting algorithm that works by repeatedly swapping the adjacent elements if they are in wrong order. Implementation in C. We shall see the implementation of merge sort in C programming language here − ( 1 5 4 2 8 ) –> ( 1 4 5 2 8 ), Swap since 5 > 4 ( 1 4 5 2 8 ) –> ( 1 4 2 5 8 ), Swap since 5 > 2 A merge sort is a sorting algorithm with complexity of O(nlogn). Merge sort is one of the most powerful sorting algorithms. Merge Sort- Merge sort is a famous sorting algorithm. It uses a divide and conquer paradigm for sorting. Here is the source code of the C Program to Implement Selection Sort using Recursion. The logic to merge two sorted arrays using recursion is the same as merging two sorted arrays using a while loop. Merge sort is widely used in various applications as well. It is rather amazing, that many programmers are unable to write 'Merge Sort' correctly. With the worst-case time complexity being Ο(n log n), it is one of the most respected algorithms. Here is the source code of the C program to display a linked list in reverse. The best part about these algorithms is that they are able to sort a given data in O(nLogn) complexity as against O(n 2) complexity (we will soon see how) of bubble sort and selection sort. Most importantly it … Tag: Merge Sort Program in C Using Recursion. Suppose Array 1 and Array 2 are the input array and Array 3 is the output array. The C program is … Also it can be used to count number of inversions in an array of integers. It divides the problem into sub problems and solves them individually. It is used for sorting numbers, structure, files. With its guarantee of O(n log n) time complexity, it is a dependable sorting algorithm. Design & Analysis of Algorithms. Merge sort is a sorting technique based on divide and conquer technique. Merge Sort Algorithm | Example | Time Complexity. The following C program, using recursion, performs merge sort. The C Program is successfully compiled and run on a Windows system. The program output is also shown below.