Getting Started with dynamic programming

Getting Started with dynamic programming

Dynamic Programming is mainly an optimization over plain recursion. Wherever we see a recursive solution that has repeated calls for the same inputs.

What is Dynamic programming?

Dynamic Programming is mainly an optimization over plain recursion. Wherever we see a recursive solution that has repeated calls for the same inputs, we can optimize it using Dynamic Programming. The idea is to simply store the results of subproblems so that we do not have to re-compute them when needed later. This simple optimization reduces time complexities from exponential to polynomial.

Let’s discuss the basic dynamic programming concepts to solve problems effectively.

Basic Concepts of dynamic programming

  1. Tabulation and maximization
  2. Optimal substructure property
  3. Overlapping subproblem property
  4. How to solve a dynamic programming problem

1. Tabulation and memorization

There are following two different ways to store the values so that the values of a sub-problem can be reused. Here, we are going to discuss the two patterns of solving the dynamic programming problem:

  1. Tabulation: Bottom Up
  2. Memoization: Top Down

Tabulation

Tabulation is an approach also called Bottom-Up where you solve a dynamic programming problem by first filling up a table, and then computing the solution to the original problem based on the results in this table.

Memoization

Memoization is an optimization technique also called Top-Down used to speed up programs by storing the results of expensive function calls and returning the cached result when the same inputs occur again.

Image for post

dynamic-programming programming java fibonacci algorithms algorithms

What is Geek Coin

What is GeekCash, Geek Token

Best Visual Studio Code Themes of 2021

Bootstrap 5 Tutorial - Bootstrap 5 Crash Course for Beginners

Nest.JS Tutorial for Beginners

Hello Vue 3: A First Look at Vue 3 and the Composition API

How to Install OpenJDK 11 on CentOS 8

What is OpenJDK? OpenJDk or Open Java Development Kit is a free, open-source framework of the Java Platform, Standard Edition (or Java SE).

Factorial Program in Java | Java Program to Find Factorial

Java is one of the popular languages. It has gained a lot of craze among the programmers because of its platform independence. Java proves itself flexible in web developers, view and user-friendly in programmers. In this post, we'll learn Factorial Program in Java | Java Program to Find Factorial.

Going Beyond Java 8: Local Variable Type Inference (var) - DZone Java

In this article, we will talk about the most important new feature introduced with Java 10, officially called local variable type inference. An extremely important function in java. You will regret skipping this article.

Factorial Program in Java | Java Program to Find Factorial

Java is one of the popular languages. It has gained a lot of craze among the programmers because of its platform independence. Factorial Program in Java.

Java Programming Full Course | Java Programming For Beginners | Learn Java Programming

This "Java Programming Full Course" will help you with the complete fundamentals of Java Programming along with real-time practical examples for a better learning experience. This is the best Java Tutorial for Beginners covering all the topics.