How to Solve The 0/1 Knapsack Problem Using Dynamic Programming
Understand the 0/1 knapsack problem and learn how to solve it with dynamic programming
Published in
8 min readJun 22, 2021
The 0/1 knapsack problem is a classical dynamic programming problem. The knapsack problem is a popular mathematical problem that has been studied for more than a century. 0/1 knapsack is one variant of this problem. Dynamic programming is a commonly studied topic in Computer Science. And 0/1 knapsack is one of the most popular dynamic programming practice problems that is frequently asked in coding interviews.
In this article, we will understand the 0/1 knapsack problem. We will know how to solve it using dynamic programming. Also, we will learn to implement it in Python.
Let’s get started!
Table of Contents:· Dynamic Programming
· The 0/1 Knapsack Problem
∘ Let’s understand the problem with an example:
· The Naive Approach
· The Dynamic Programming Approach
· Finding Out The Solution
· Implementing in Python
∘ The naive recursive implementation:
∘ The improved implementation using Dynamic Programming:
· Conclusion
· Resources
Dynamic Programming
Dynamic Programming(DP) is a problem-solving technique to solve optimization…
