Gain insights into dynamic programming, explore recursion basics, and delve into advanced techniques like Bottom-Up optimization. Discover ways to solve complex problems more efficiently with hands-on coding challenges.

Dynamic programming is something every developer should have in their toolkit. It allows you to optimize your algorithm with respect to time and space — a very important concept in real-world applications.

In this course, you’ll start by learning the basics of recursion and work your way to more advanced DP concepts like Bottom-Up optimization. Throughout this course, you will learn various types of DP techniques for solving even the most complex problems. Each section is complete with coding challenges of varying difficulty so you can practice a wide range of problems.

By the time you’ve completed this course, you will be able to utilize dynamic programming in your own projects.

Dynamic Programming in Python: Optimizing Programs for Efficiency

# Problem statement

Given two strings, `str1` and `str2`, find the minimum number of operations required to be operated on `str1` to convert it into `str2`. There can be three kinds of operations: *i)* insertion of a character at some specific position, *ii)* deletion of a character at some specific position, or *iii)* changing a character at some specific position into some other character. The visualization below shows all these operations. Each operation has a cost of one unit. Thus, you want to find the minimum cost of converting `str1` into `str2`. The following visualization also shows how different sequences of operations can entail different costs.

> **Note:** This problem has a direct application in the autocorrect feature.


In this lesson, we will see another classic string related dynamic programming problem.

Chapter 1: From Recursion to Dynamic Programming

Chapter 2: Top-Down Dynamic Programming with Memoization

Chapter 3: Bottom-Up Dynamic Programming with Tabulation

Chapter 4: Practice Problems

Challenge: The Edit Distance Problem

Problem statement