What are some examples of dynamic programming problems?

Can you give me some examples of dynamic programming problems?

Sure! Some classic examples include the Fibonacci sequence, the Knapsack problem, and the Longest Common Subsequence.

How does the Knapsack problem work?

The Knapsack problem involves selecting items with given weights and values to maximize value without exceeding weight capacity.

What is the difference between top-down and bottom-up approaches in dynamic programming?

The top-down approach uses recursion with memoization, while the bottom-up approach builds solutions iteratively from the smallest subproblems.

Can you provide a coding example for the Fibonacci sequence using dynamic programming?

Certainly! Here's a simple Python example using memoization:

def fibonacci(n, memo={}):
    if n in memo:
        return memo[n]
    if n <= 1:
        return n
    memo[n] = fibonacci(n-1, memo) + fibonacci(n-2, memo)
    return memo[n]