Design and Analysis of Algorithms - Mergesort Algorithm (Part-1) | Merging | Merge Procedure | Sorting Algorithm | GATECSE | DAA

#mergesort, #mergeprocedure, #merging, #thegatehub Algorithm for merging two arrays || Algorithm for merging two sorted subarrays || Algorithm for merging two list || Algorithm for merging two arrays in data structure || Algorithm for merging two arrays in algorithms || merge sort in divide and conquer || merge sort algorithm in divide and conquer || merging of two arrays in data structure || merging of two arrays in algorithm || Merging Two Sorted Sequences || Merge sort full explanation with example || Merge sort full explanation with gate example || most expected question gate on mergesort In this vedio i have Discussed merging algorithm with an example. Step by step instructions on how merging is to be done with the code of merge function. Merge sort is the first algorithm we are going to study in Divide and Conquer. According to Divide and Conquer, it first divides an array into smaller subarrays and then merges them together to get a sorted array. Divide: Divide the unsorted array into two subarray of about half the size. Conquer: Sort each of the two subarray recursively until we have list sizes of length 1, in which case the array items are returned. Combine: Merge the two sorted Subarray back into one sorted array. Contact Details (You can follow me at) Instagram: https://www.instagram.com/thegatehub/ LinkedIn: https://www.linkedin.com/in/thegatehub Twitter: https://twitter.com/THEGATEHUB ................................................................................................................... Email: [email protected] Website: https://thegatehub.com/ ................................................................................................................... 📚 Subject Wise Playlist 📚 ▶️Data Structures: http://tinyurl.com/bwptf6f7 ▶️Theory of Computation: http://tinyurl.com/5bhtzhtd ▶️Compiler Design: http://tinyurl.com/2p9wtykf ▶️Design and Analysis of Algorithms: http://tinyurl.com/ywk8uuzc ▶️Graph Theory: http://tinyurl.com/3e8mynaw ▶️Discrete Mathematics: http://tinyurl.com/y82r977y ▶️C Programming:http://tinyurl.com/2556mrmm Mergesort Algorithm, Merge Procedure, Merging, Divide and Conquer How Merge Sort Works? How Merge Sort algorithms Works? How 2 way Mergesort Works? How 2 way Mergesort algorithm Works? How merge procedure Works? How merge function Works? How 2 way Mergesort Works? How 2 way merging algorithm Works? Mergesort time complexity How to calculate Mergesort time complexity How to analyze Mergesort time complexity How to calculate Merge procedure time complexity How to analyze Merge procedure time complexity How to calculate Mergesort space complexity How to analyze Mergesort space complexity How to calculate Merge procedure space complexity How to analyze Merge procedure space complexity Analysis of merge procedure Algorithm for merging two arrays Algorithm for merging two sorted subarrays Algorithm for merging two list Algorithm for merging two arrays in data structure Algorithm for merging two arrays in algorithms merge sort in divide and conquer merge sort algorithm in divide and conquer merging of two arrays in data structure merging of two arrays in algorithm Merging Two Sorted Sequences Merge sort full explanation with example Merge sort full explanation with gate example most expected question gate on mergesort most frequently asked question gate on mergesort merging algorithm with code Top-down implementation mergesort Bottom-up implementation mergesort Top-down implementation merge procedure Bottom-up implementation merge procedure Worst-case performance of mergesort O(n log n) Best-case performance of mergesort O(n log n) Average performance of mergesort O(n log n) Worst-case space complexity of mergesort О(n) space complexity of mergeprocedure О(n) We study the mergesort algorithm and show that it guarantees to sort any array of n items with at most n log n compares. We also consider a nonrecursive, bottom-up version. We prove that any compare-based sorting algorithm must make at least n lg n compares in the worst case. We discuss using different orderings for the objects that we are sorting and the related concept of stability.