Complexity Classes (P, NP, NP-Hard, NP-Complete) | 11th Computer - Ch 3 - Lec 5

In this video, we cover one of the most important and challenging topics of Computer Science — Complexity Classes. You'll learn what these classes mean, why they matter, and how to understand them with simple real-world examples. 🧠 Topics Covered: What is Computational Complexity? ✅ Class P: Problems that can be solved quickly by a computer (e.g., sorting numbers). 🤔 Class NP: Problems where the solution is hard to find but easy to verify (e.g., Sudoku puzzle). 🔍 Class NP-Hard: Extremely difficult problems with no known fast solution (e.g., Traveling Salesman Problem - TSP). 🔐 Class NP-Complete: Problems that are both in NP and as hard as NP-Hard (e.g., Knapsack Problem). 📊 We’ve also discussed: The background and purpose of these complexity classes Simple illustrations and comparisons How real-life problems fit into these classes A helpful Venn diagram to understand their relationships 📚 Whether you're preparing for your exams or just want to understand what makes some problems so hard for computers to solve, this video will clear your concepts. 📌 Don’t forget to Like, Share, and Subscribe for more such Computer Science lectures for 9th, 10th, and 1st Year students! #ComputerScience #ComplexityClasses #PvsNP #NPComplete #NPHard #KnapsackProblem #Sudoku #TSP #1stYearCS #Chapter3Computer #amanatbhatti