0/1 Knapsack Problem — Dynamic Programming Explained with the Algorithm

-
Lecture Link

In this lesson, we tackle the 0/1 Knapsack Problem, a classic optimization problem in computer science and interview prep. We’ll motivate the problem, define it clearly, and then solve it using dynamic programming. You’ll see the pseudoalgorithm, learn why we use a table (columns = capacities 0…W, rows = items), and walk through a concrete example step by step. In the next video, we’ll implement it in Python.

What you’ll learn:

  • What the 0/1 Knapsack Problem is used for (budgeting, scheduling, resource allocation, portfolios)

  • The DP intuition: solve small capacities first, reuse results

  • How to build the DP table: rows = items, columns = capacities

  • The key choice at each cell: take or skip the item

  • How to trace back selected items from the final table

  • Clean pseudoalgorithm you can convert to code

Comments

Post a Comment

Popular posts from this blog

Introduction to Languages and Strings | Theory of Computation | Automata Theory

-
Image
#automatatheory #cenglectures #computerengineering #computerscience #cs #cslectures #education #language #maths #theoryofcomputation #university #universitylecture Welcome to the first lecture of the Theory of Computation series! In this video, we delve into the foundational concepts of theoretical computer science. Here's what we'll cover: What is a Language? Understand the definition of a language in the context of computer science and its significance. What is a String? Learn about strings, their structure, and how they form the basis of languages. Examples of Languages and Strings See practical examples to illustrate these concepts clearly. Operations on Languages Explore the fundamental operations that can be performed on languages, including: Union Intersection Concatenation Kleene Star Introduction to Regular Languages Get a brief overview of regular languages and their importance in the theory of computation.
Read more

System Design Interview Preparation

-
System Design Decision Flow 1-  Clarify Requirements    • Functional: What features are needed?      – Example: Store, retrieve, update user profiles; search by email, etc.    • Non-functional: Scale, performance, reliability?     – Example: 100M users, 1000 RPS, 99.99 2-  High-Level Components 2.1- Client         The entry point for user interaction via web or mobile interfaces. Clients send HTTP or API requests to the backend through gateways or load balancers. 2.2- CDN (Content Delivery Network)           A CDN is a globally distributed network of edge servers that caches and serves static content (like images, CSS, JS, fonts, and videos) from locations geographically closer to users. This reduces latency, offloads traffic from your origin server, and improves content delivery speed. Use when: • You serve static assets to a global audience. • You want to reduce load on your a...
Read more

Frontend vs Backend Explained with a Home Analogy | Web Development for Beginners

-
Image
Introduction: Are you curious about how websites work? Wondering what makes a website both beautiful and functional? In my latest YouTube video, I break down the difference between frontend and backend development using a relatable home analogy. Whether you’re new to coding or looking to refresh your knowledge, this video is the perfect starting point for your web development journey! What You’ll Learn in the Video: Frontend Development : Learn about the tools like HTML, CSS, and JavaScript that create the visible and interactive parts of a website. Understand how each tool contributes to building a seamless user interface. Backend Development : Discover how frameworks like Django handle data processing, user authentication, and more behind the scenes. See how the backend ensures everything works smoothly. How Frontend and Backend Work Together : Understand why websites need both frontend and backend to function. Explore a practical analogy to make the concept easier to grasp. Than...
Read more