How do I implement dynamic programming in my code?

How do I implement dynamic programming in my code?

Dynamic programming is a method for solving complex problems by breaking them down into simpler subproblems. Can you specify which problem you're trying to solve?

I'm trying to solve the Fibonacci sequence problem.

Great! You can implement dynamic programming for the Fibonacci sequence using either a top-down approach with memoization or a bottom-up approach. Which one would you like to learn about?

Let's go with the bottom-up approach.

In the bottom-up approach, you start from the base cases and build up to the desired solution. Here's a simple implementation in Python:

def fibonacci(n):
    if n <= 1:
        return n
    fib = [0] * (n + 1)
    fib[1] = 1
    for i in range(2, n + 1):
        fib[i] = fib[i - 1] + fib[i - 2]
    return fib[n]

This will give you the nth Fibonacci number efficiently!