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Another example of a computer sorting algorithm is merge sort. MERGE-SORT (A, p, r) 1. Merge Sort Algorithm Merge sort is one of the most efficient sorting algorithms. The algorithm processes the elements in 3 steps. It works on the principle of Divide and Conquer. Google Classroom Facebook Twitter. This step is carried out recursively for all the half arrays until there are no more half arrays to divide. Conquer: In this step, we sort and merge the divided arrays from bottom to top and get the sorted array. To accomplish this step, we will define a procedure MERGE (A, p, q, r). It is also very effective for worst cases because this algorithm has lower time complexity for worst case also. Note that the recursion bottoms out when the subarray has just one element, so that it is trivially sorted. To sort the entire sequence A[1 .. n], make the initial call to the procedure MERGE-SORT (A, 1, n). We divide the while data set into smaller parts and merge them into a larger piece in sorted order. Analysis of merge sort. In computer science, merge sort (also commonly spelled mergesort) is an efficient, general-purpose, comparison-based sorting algorithm.Most implementations produce a stable sort, which means that the order of equal elements is the same in the input and output.Merge sort is a divide and conquer algorithm that was invented by John von Neumann in 1945. Merge sort is the algorithm which follows divide and conquer approach. Algorithm: Merge Sort. Use merge sort algorithm recursively to sort each sub-array. You can see an illustrated scheme showing how merge sort algorithm proceeds step by step below. Challenge: Implement merge sort. This is a more complex algorithm than bubble sort, but can be more efficient. 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. Challenge: Implement merge. Merge Sort Algorithm- Merge Sort Algorithm works in the following steps-It divides the given unsorted array into two halves- left and right sub arrays. Otherwise, divide the unsorted array into two sub-arrays of about half the size. Email. If A Contains 0 or 1 elements then it is already sorted, otherwise, Divide A into two sub-array of equal number of elements. It is an algorithm design paradigm that uses recursion to break down a problem into smaller subsets until they become simple enough to … This is the currently selected item. This division continues until the size of each sub array becomes 1. After each sub array contains only a single element, each sub array is sorted trivially. Merge sort works by splitting collections to sub-collections until there is one item in the list and then sorts the items as its merging them. Merge sort. Merge sort. Consider an array A of n number of elements. Linear-time merging. The basic steps of a merge sort algorithm are as follows: If the array is of length 0 or 1, then it is already sorted. These steps will continue until all the numbers are filled in the "result" array. Overview of merge sort. The merge sort technique is based on divide and conquer technique. Here is a flow chart for the merging: Merge sort Merge sort is a recursive algorithm. Steps of Merge Sort What is Divide and Conquer? Divide and conquer algorithms. The sub arrays are divided recursively. As we said earlier it divides the array recursively until all sub-arrays are of size 1 or 0. Merge the two sub-arrays to form a single sorted list. Divide and conquer algorithms. The following diagram shows the complete merge sort … C Program for Merge Sort Merge sort. 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