Here are the 3 types of time complexity which are explained below:ġ. Print ("Array Before Sorting :", end="\n")Īs it is a recursive algorithm, its time complexity can be expressed as a recurrence relation. While i < len(LArray) and j < len(RArray): LArray = myarr # Elements are divided in 2 arrays Mid = len(myarr)//2 #Middle element of the array is found Here are some examples of implementing merge sort: Also, we can see the sequence or the order in which the elements are processed.Įxample to Implement Merge Sort in Data Structure In the above picture, elements of the array are sorted using Merge sort. This algorithm is preferred over quick sort while working with the linked list as in quicksort, and there was a need to access the elements a lot which is of O(n) complexity in case of the linked list.
Then, elements in the 2 sub-arrays are compared simultaneously, and Array A is populated with elements in the sorted arrays. This algorithm declares 2 arrays LArray and RArray to hold the elements in 2 sub-arrays.
When recursive calls end and we end up having single elements in each sub-array, the MERGE algorithm is called. Then a middle point m is calculated to divide the array into 2 sub-arrays, and the same algorithm is called for those sub-arrays. Let LArray and RArray be new arraysĮxplanation: First, we have algorithm MERGE-SORT that takes an array as an argument and sees if the last index is greater than the left index to see if the array contains some elements to be sorted. Above 2 halves are merged using below algorithm: Middle point is found to divide the array into 2 halves:Ĥ. Hadoop, Data Science, Statistics & othersġ. Below is pseudo-code to implement Merge Sort for a given array myarr which has its last index as right. This process works on one assumption that the two sub-arrays contain the elements in a sorted manner. It uses a key process Merge(myarr, left,m, right) to combine the sub-arrays divided using m position element. Merge Sort works similar to quick Sort where one uses a divide and conquer algorithm to sort the array of elements. Algorithm for Merge Sort in Data Structure Here we will discuss merge sort in a data structure along with its algorithm and applications. This is also a comparison-based sorting algorithm with O(nlogn) of complexity. In Merge Sort, we divide the list of elements into smaller lists until and unless the single element is left in the list and then these are merged in correct order to get the sorted list of elements. This means it divides the main problem into smaller problems and later merges them to get the solution to the bigger one. It is a recursive procedure based on the divide and conquers technique to solve a problem. Introduction to Merge Sort in Data Structure
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