Java: Understanding Dijkstra’s Algorithm for Pathfinding

Why Dijkstra's Algorithm is Important Pathfinding, the process of finding the shortest route between two points, is a fundamental problem in computer science. This is where Dijkstra's algorithm, developed by computer scientist Edsger W. Dijkstra in 1956, becomes crucial. It’s a testament to the algorithm’s efficiency and versatility that it remains widely used today. Dijkstra's algorithm is important because it effectively solves the single-source shortest path problem for a graph…

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Java: In-Depth Guide to Randomized QuickSort and Its Practical Uses

Quicksort is an important algorithm used in almost all sorting libraries Randomized QuickSort is a version of the classic QuickSort algorithm that uses randomization to select the pivot element. The pivot element is used to partition the array into two halves, which are then sorted independently. The use of randomization typically ensures that the algorithm performs well on average, regardless of the initial order of the elements. Below, I'll explain…

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Three Unique Algorithms I Love

While these algorithms might not be the most prevalent, they have the potential to be incredibly beneficial to you in your coding endeavours. During my college years, I was deeply immersed in the world of competitive coding, investing countless hours in honing my skills and tackling challenging problems. In the realm of competitive programming, it’s imperative to have a strong grasp on a core set of algorithms, almost as if…

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Why Randomized Quicksort is Preferred Over Merge Sort

Comparative Analysis of Randomized Quicksort and Mergesort in In-built Libraries: A Dive into Performance, Implementation, and Application Randomized quicksort and mergesort are both powerful sorting algorithms utilized in various programming environments. However, many in-built modules and libraries often favour randomized quicksort over mergesort. This preference is rooted in several technical and practical considerations that make randomized quicksort a more attractive choice in many scenarios. This article delves into these considerations…

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Must Know Algorithmic Tricks for Competitive Programming

Some Tips and Strategies for Solving Challenging Problems Competitive programming is a sport that requires speed, accuracy, and creativity. To excel in this field, one needs to have a deep understanding of algorithms, data structures, and problem-solving strategies. In this article, we will explore some must-know algorithmic tricks that can help you improve your competitive programming skills and solve complex problems with ease. Modular Arithmetic In modular arithmetic, all calculations…

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Disjoint Set Union Algorithm

Applying Path Compression and Rank by Size Techniques for Optimal Performance. Introduction Disjoint Set Union (DSU) algorithm is a data structure that is used to maintain a collection of disjoint sets that supports two main operations: Union and Find. The Union operation is used to merge two sets into a single set, while the Find operation is used to determine which set an element belongs to. This algorithm is widely…

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Square Root Decomposition

Unlocking the Power of Square Root Decomposition: Simplifying Complex Mathematical Problems Square root decomposition is a data structure technique that allows us to perform range queries on an array in an efficient way. The basic idea is to divide the array into blocks of equal size, and precompute some information about each block that can be used to answer queries on that block. This allows us to answer queries on…

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Back to Basics: Master binary search

Learn how to implement binary search, lower bound, and upper bound algorithms in Java for efficient searching of sorted arrays and lists. Binary search is a search algorithm used to find a specific element in a sorted list or array. The algorithm works by repeatedly dividing the search interval in half until the target element is found, or until the search interval is empty. Binary search is a very efficient…

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