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Longest Increasing Subsequence

Given an integer array return the length of the longest strictly increasing subsequence. Approach O(N^2) Solution To find the length of the longest strictly increasing subsequence in an integer array nums, we can use the dynamic programming approach. Here's how it works: We create an array dp of the same length as nums, where dp[i] represents the length of the longest increasing subsequence that ends at index i. We initialize each element of dp…

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Mastering the Decorator Design Pattern in Java

A Deep Dive into the Decorator Pattern and Its Benefits for Object-Oriented Design Introduction In Java, a decorator is a design pattern that allows you to add new functionality to an existing class without modifying its source code. The decorator pattern is a structural pattern, which means it deals with the composition of objects and their relationships. The decorator pattern works by creating a wrapper around an existing object, called…

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Chain of Responsibility Design Pattern in Java

A Real-World Example of Loan Approval Process Introduction Chain of Responsibility is a behavioural design pattern that allows you to pass requests along a chain of handlers, each handling the request if possible or forwarding it to the next handler in the chain if not. The Chain of Responsibility pattern is designed to decouple the sender and receiver of a request by providing multiple potential receivers, each with its own…

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Parking Lot Design in Java

Design a parking lot using object-oriented principles. Use Cases Before diving into the design, let's explore some of the use cases that we need to consider while designing a parking lot: Park a vehicle - A user should be able to park a vehicle in the parking lot. Exit the parking lot - A user should be able to exit the parking lot after paying the parking fee. Check parking…

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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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Undo Feature Design for Word-Processing App

How you would design the undo feature for a word processing application, such as MS Office, using object-oriented programming principles and low-level design techniques? explain the key components of your design, such as the interfaces, classes, and data structures that you would use, and how they would work together to enable undoing user actions on the document. Introduction In this article, we will discuss how to approach the design of…

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Building a Web Application with MVC Design Patterns

Using Java and Spring MVC to Create a Scalable and Maintainable To-Do List Manager Introduction To-do lists are an essential tool for managing our daily tasks and increasing productivity. With the advent of web technologies, it has become easier to create web applications that allow users to create and manage to-do lists. In this article, we will learn how to create a web application that allows users to create and…

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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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