Top 10 Questions on Sorting Algorithms and Divide and Conquer Approach Top 10 Questions on Sorting Algorithms and Divide and Conquer Approach Understanding basic sorting algorithms and the divide and conquer approach is crucial for every computer science student. Below are the most frequently asked questions with answers from Module 1: Introduction to Algorithms . 1. What is Selection Sort and how does it work? Selection Sort is a comparison-based algorithm that divides the array into a sorted and unsorted part. It repeatedly selects the minimum element from the unsorted section and moves it to the beginning. Time Complexity: O(n²) Stable: No In-place: Yes 2. What are the steps involved in Insertion Sort? Insertion Sort builds the sorted array one element at a time by inserting each new element into its correct position among the previously sorted elements. Best Case: O(n) Worst Case: O(n²) Stable: Ye...
Kruskal's Algorithm: Building a Minimum Spanning Tree the Easy Way Imagine you have a bunch of islands, and you want to build bridges to connect all of them so that you can travel between any two islands. Building bridges costs money, and you want to do it in the cheapest way possible. That's where Kruskal's algorithm comes in handy! It's a clever method to find the most cost-effective way to connect all the islands (or nodes in a network) using the fewest possible bridges (or edges). The resulting network is called a Minimum Spanning Tree (MST) . What Exactly is Kruskal's Algorithm? (The Definition) Kruskal's algorithm is a greedy algorithm used in graph theory to find a minimum spanning tree for a weighted, undirected graph. This means it finds a subset of the edges that connects all the vertices (nodes) together, without any cycles, and with the minimum possible total edge weight. Key Terms: Graph: A collection of vertices (nodes) connected by edges. Weig...
Algorithm Viva Questions and Answers Algorithm Viva Questions and Detailed Answers 2. Divide and Conquer Approach Q1. What is the Divide and Conquer strategy? It is an algorithmic paradigm that breaks a problem into subproblems, solves them recursively, and then combines their results. Examples include Merge Sort, Quick Sort, and Binary Search. Q2. Explain Finding Minimum and Maximum using Divide and Conquer. The array is split into halves. Recursively, min and max of each half are found, and finally the overall min and max are determined using a comparison of results from the halves. Q3. Describe Merge Sort. Merge Sort divides the list into halves, recursively sorts them, and merges the sorted halves. It has a time complexity of O(n log n) and is stable but not in-place. Q4. Explain Quick Sort. Quick Sort selects a pivot, partitions the array such that elements lesser are on the left and greater on the right, then recursively sort...
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