What Is Merge Sort in Data Structure in C?

//

Angela Bailey

When it comes to sorting algorithms in data structure, one of the most efficient and widely used algorithms is Merge Sort. Merge Sort is a divide-and-conquer algorithm that recursively divides the input array into smaller subarrays, sorts them, and then merges them back together to obtain a sorted output.

Let’s take a closer look at how Merge Sort works:

Divide and Conquer

The first step in Merge Sort is to divide the input array into two equal halves. This process is repeated until we have subarrays that contain only one element. At this point, each subarray is considered sorted.

To divide an array into two halves, we calculate the middle index using the formula:

`mid = (left + right) / 2`

where `left` represents the leftmost index of the current subarray and `right` represents the rightmost index.

Merge Operation

The next step in Merge Sort involves merging two sorted subarrays back together to form a single sorted array. This process continues until all subarrays are merged, resulting in a completely sorted array.

To merge two sorted subarrays, we compare elements from both subarrays and place them in their correct order in a temporary array. We keep track of the current indices for both subarrays and increment them accordingly as elements are placed in the temporary array.

Merge Function:

``` void merge(int arr[], int left, int mid, int right) {     int i, j, k;     int n1 = mid - left + 1;     int n2 = right - mid;     int L[n1], R[n2];     for (i = 0; i < n1; i++)       L[i] = arr[left + i];     for (j = 0; j < n2; j++)       R[j] = arr[mid + 1 + j];     i = 0;     s;j = 0;  &nsbp;s s;k = left;    ```

``` while (i < n1 && j < n2) { if (L[i] <= R[j]) { arr[k] = L[i]; i++; } else { arr[k] = R[j]; j++; } k++;} After merging the subarrays, the temporary array contains the sorted elements. We then copy these elements back into the original array. Merge Sort Algorithm: The Merge Sort algorithm can be implemented using a recursive function: Merge Sort Function: ```c void mergeSort(int arr[], int left, int right) { if (left < right) { int mid = left + (right - left) / 2; mergeSort(arr, left, mid); mergeSort(arr, mid + 1, right); merge(arr, left, mid, right); } } ``` Now that we have a clear understanding of how Merge Sort works, let's analyze its time complexity. Merge Sort has a time complexity of O(n log n), where n represents the number of elements in the input array. This makes it more efficient than other sorting algorithms like Bubble Sort or Insertion Sort. In conclusion, Merge Sort is a powerful sorting algorithm that utilizes the divide-and-conquer approach to efficiently sort an array. Its time complexity and stability make it a popular choice for various applications. By understanding its inner workings and implementing it in C or any other programming language, you can improve your programming skills and tackle complex sorting tasks with ease. 7 Related Question Answers Found What Is Merge Sort in Data Structure? Merge Sort is a popular sorting algorithm in the field of data structure. It is based on the divide-and-conquer technique, which involves breaking down a problem into smaller subproblems, solving them independently, and then combining the results to obtain the final solution. How does Merge Sort work? What Is Doubly Linked List in Data Structure in C? Doubly Linked List in Data Structure in C A doubly linked list is a data structure that consists of a sequence of nodes. Each node contains three fields: the data field, and two pointers, one pointing to the previous node and one pointing to the next node. This allows traversal in both directions, unlike a singly linked list where traversal is only possible in one direction. What Is Merge Sort in Data Structure With Example? Merge sort is a popular sorting algorithm in data structure that follows the divide-and-conquer approach. It is known for its efficiency and stability, making it a preferred choice for sorting large data sets. In this article, we will explore merge sort in detail and provide an example to illustrate its working. What Is Quick Sort in Data Structure in C? Quick Sort is a popular sorting algorithm in computer science and is widely used in various applications. It is based on the divide-and-conquer strategy and has an average time complexity of O(n log n). In this article, we will explore what Quick Sort is and how it works in the context of data structures using the C programming language. What Is a Merge Sort in Data Structure? A merge sort is a popular sorting algorithm used in data structures. It is known for its efficiency and ability to handle large amounts of data. In this article, we will explore what a merge sort is, how it works, and why it is advantageous. What Is Linked List in C in Data Structure? A linked list is a fundamental data structure in C programming language that allows for efficient storage and retrieval of data. It consists of a collection of nodes, where each node contains both the data and a reference to the next node in the list. Structure of a Linked List A linked list is made up of nodes, where each node contains two components: the data and the next pointer. What Is the Merge Sort in Data Structure? What Is the Merge Sort in Data Structure? Merge sort is one of the most efficient sorting algorithms used in computer science. It falls under the category of comparison-based sorting algorithms and is known for its superior performance. ```
``` Categories Data Structures, Programming Which Function Is Used to Convert String Data to Float Type?Which Graph Type Represents Plotted Data in the Form of Percentage in Matlab? ```
``` ```
``` ```
``` ```
``` ```
``` ```
``` Discord Server - Web Server - Private Server - DNS Server - Object-Oriented Programming - Scripting - Data Types - Data Structures Privacy Policy © 2023 ServerLogic3 Home Programming Data Structures Data Types Object Oriented Programming Scripting Server Discord Server DNS Server Private Server Web Server About Us !function(){"use strict";if("querySelector"in document&&"addEventListener"in window){var e=document.body;e.addEventListener("mousedown",function(){e.classList.add("using-mouse")}),e.addEventListener("keydown",function(){e.classList.remove("using-mouse")})}}(); var offSide = {"side":"left"}; var smooth = {"elements":[".smooth-scroll","li.smooth-scroll a"],"duration":"800"}; var generatepressMenu = {"toggleOpenedSubMenus":"1","openSubMenuLabel":"Open Sub-Menu","closeSubMenuLabel":"Close Sub-Menu"}; var generatepressBackToTop = {"smooth":"1"}; _stq = window._stq || []; _stq.push([ "view", {v:'ext',blog:'220999223',post:'78347',tz:'0',srv:'serverlogic3.com',j:'1:12.3'} ]); _stq.push([ "clickTrackerInit", "220999223", "78347" ]); ```