How can I optimize recursive algorithms for better performance?

How can I optimize recursive algorithms for better performance?

You can optimize recursive algorithms by using techniques like memoization, tail recursion, and iterative approaches.

What is memoization and how does it work?

Memoization is a technique where you store the results of expensive function calls and return the cached result when the same inputs occur again.

Can you give me an example of memoization in Python?

Sure! Here's a simple example:

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]

What are the benefits of using tail recursion?

Tail recursion can be optimized by the compiler to avoid increasing the call stack, thus saving memory and improving performance.