# Complete Guide to Dynamic Programming

## In this complete guide to Dynamic Programming, you will learn about the basics of Dynamic Programming, how to get started with Dynamic Programming, learning, strategy, resources, problems, and much more.

Overview

Chapters

Reviews

FAQâ€™s

9

Chapters

1

Quizzes

61

Articles

51

Problems

Discover a smoother learning journey through our effortless roadmap

5 articles

3 articles

9 articles

14 articles

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## About the Complete Guide to Dynamic Programming

Our Complete Guide to Dynamic Programming offers a comprehensive overview of this powerful problem-solving technique. Whether you're an experienced coder looking to enhance your skills or a beginner aiming to master this essential concept, this guide equips you with the knowledge and tools to efficiently solve complex problems by breaking them down into manageable subproblems.

### Basic Terminologies of Dynamic Programming

While learning about Dynamic Programming in this Complete Guide on Dynamic Programming, you will come across some common terms that will be used multiple times. Some of these terms are:

1. Optimal Substructure: Problems can be solved using solutions to their subproblems.
2. Overlapping Subproblems: Some subproblems are solved repeatedly.
3. Memoization: Caching and reusing computed results.
4. Tabulation: Building solutions iteratively in a table.
5. State: Parameters defining a subproblem.
6. Recurrence Relation: Mathematical equation for problem-solving.
7. Top-Down: Recursive approach, starting with the main problem.
8. Bottom-Up: Iterative approach, solving simple subproblems first.
9. State Space: All possible states in a problem.
10. Optimal Solution: The best solution to the original problem.

## Why Dynamic Programming is needed?

Dynamic Programming is needed to efficiently solve complex problems by breaking them into smaller, solvable subproblems, saving time and resources in finding optimal solutions.

## Reviews

This roadmap provides an excellent guide to grasp fundamental concepts. It comprehensively covers various data structures and algorithms topics. I am totally satisfied with the contents of this roadmap.

Sachin Motwani

The topics in this roadmap are explained clearly, and practice problems given were very helpful to implement the concepts learnt. Kudos to GeeksforGeeks!!!

Shreya Kumari

This roadmap has been a one-stop destination for my basics revision. GeeksforGeeks has touched all the important topics with the best approach. This roadmap has a huge role in getting me placed.

Asha Bisht

The organized structure of the roadmap on GFG is excellent. The sequence in which to study is fantastic, and it has been incredibly beneficial for me.

## FAQ's

How can I start this course?

You just need to click on the button that says START YOUR JOURNEY, and that's it. You will be taken to your first chapter.

Is this a language-specific course?

No. Majority topics in the course include implementations in popular programming languages like C, C++, Java, Python, C#, and Javascript.

Does the course include programming questions?

Yes, the course focuses on DS & Algo with a mix of theoretical topics and programming questions.

Can I learn DSA live?

Yes, we do have LIVE batched for DSA. You may call us on our toll-free number: +91-7838223507 or Drop us an email at courses@geeksforgeeks.org for any queries.