The ultimate guide to dynamic programming interviews in C++ with strategies developed by FAANG engineers. Practice with real-world questions and get interview-ready in just a few hours.

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, Python, and Java—with more coming soon!

Grokking Dynamic Programming Interview in C++

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

The Tribonacci sequence is defined as:
|  $T_0 = 0,\space T_1 = 1,\space T_2 = 1$,  and $\space T_n = T_{n-1} + T_{n-2} + T_{n-3}, \space$ for $n >= 3$ | 
|------------|------------|------------|------------------------------------------------------| 

The input number, `n`, is a non-negative integer.

Let’s say you have to find the fifth Tribonacci number in the sequence. From the sequence defined above, we know that $T_0 = 0, T_1 = 1, T_2 = 1$. The sequence will be:

$0, 1, 1, 2, 4, 7$ 

Therefore, the fifth term will be 7.

**Constraints:**

- $0 \leq$ `n` $\leq 73$
- The answer is guaranteed to fit within a 64-bit integer, i.e., 
answer $\leq 2 ^{63} - 1$

# Examples

Let's solve the Nth Tribonacci Number problem using Dynamic Programming.

Getting Started

0/1 Knapsack

Unbounded Knapsack

Recursive Numbers

Longest Common Substring

Palindromic Subsequence

Conclusion

Nth Tribonacci Number

Statement