n]. Such as Recursive Binary Search, Merge Sort, Quick sort, Selection sort, Strassen’s Matrix Multiplication etc. Most implementations produce a stable sort, which means that the implementation preserves the input order of equal elements in the sorted output. This algorithm is based on splitting a list, into two comparable sized lists, i.e., left and right and then sorting each list and then merging the two sorted lists back together as one. Repeat the experiment for different values of n, the number of elements in the list to be sorted and plot a graph of the time taken versus n. The elements Merge Sort follows the rule of Divide and Conquer to sort a given set of numbers/elements, recursively, hence consuming less time.. Merge Sort is a divide and conquer algorithm that uses a merge process to merge the two sub-arrays into one by sorting its elements incorrect order. A divide-and-conquer solution for sorting an array gives an algorithm known as mergesort: Mergesort: { Divide: Divide an array of n elements into two arrays of n=2 elements each. Mergesort is a divide and conquer algorithm. The heap sort algorithm starts by using procedure BUILD-HEAP to build a heap on the input array A[1 . In computer science, merge sort (also commonly spelled mergesort) is an O(n log n) comparison-based sorting algorithm. The heap sort combines the best of both merge sort and insertion sort. Like merge sort, the worst case time of heap sort is O (n log n) and like insertion sort, heap sort sorts in-place. Bubble sort b. { Conquer: Sort the two arrays recursively. Which of the following sorting algorithms does not have a worst case running time of O(n2) ? Merge sort is another sorting technique and has an algorithm that has a reasonably proficient space-time complexity - O(n log n) and is quite trivial to apply. Quick sort c. Merge sort – d. Insertion 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. I want to make a series in which I will discuss about some algorithms which follow divide and conquer strategy. Design and Analysis of Algorithms Questions and Answers | DAA MCQ. Divide and conquer algorithms divide the original data into smaller sets of data … Merge Sort is a sorting algorithm. MERGE SORT PO-2,PO-3 PSO-1 Implement merge sort algorithm to sort a given set of elements and determine the time required to sort the elements. Today I am discussing about Merge Sort. It works on one assumption that the elements in these sub-arrays are already sorted. 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