The ultimate dynamic programming guide by FAANG engineers. Structured prep with real-world DP questions to get interview-ready in hours!

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Some of the toughest questions in technical interviews require dynamic programming solutions. Dynamic programming (DP) is an advanced optimization technique applied to recursive solutions. However, DP is not a one-size-fits-all technique, and it requires practice to develop the ability to identify the underlying DP patterns. With a strategic approach, coding interview prep for DP problems shouldn’t take more than a few weeks.

This course starts with an introduction to DP and thoroughly discusses five DP patterns. You’ll learn to apply each pattern to several related problems, with a visual representation of the working of the pattern, and learn to appreciate the advantages of DP solutions over naive solutions.

After completing this course, you will have the skills you need to unlock even the most challenging questions, grok the coding interview, and level up your career with confidence.

This course is also available in JavaScript, C++, and Java—with more coming soon!

Grokking Dynamic Programming Interview in Python

# Statement
**Fibonacci numbers** are a sequence of numbers where each number is the sum of the two preceding numbers.
Your task is to find the $n^{th}$ Fibonacci number.

The Fibonacci sequence is defined as:
|  $F_0 = 0,\space F_1 = 1,\space F_n = F_{n-1} + F_{n-2},\space$ for $n$ $\geq$ 2 | 
|------------|------------|------------|------------------------------------------------------| 

Let’s say you have to find the fifth Fibonacci number in the sequence. From the sequence defined above, we know that $F_0 = 0$ and $F_1 = 1$. So, the sequence will be:

$0, 1, 1, 2, 3, 5$ 

Now, the fifth term will be 5.

**Constraints:**
- $0 \leq$ `n` $\leq 900$  

# Examples

Let's solve the Fibonacci Numbers problem using Dynamic Programming.

Getting Started

0/1 Knapsack

Unbounded Knapsack

Recursive Numbers

Longest Common Substring

Palindromic Subsequence

Conclusion

Fibonacci Numbers

Statement