What are some examples of memoization in programming?

What are some examples of memoization in programming?

Memoization is an optimization technique used to speed up function calls by caching previously computed results. A classic example is the Fibonacci sequence.

Can you show me how memoization works with the Fibonacci sequence?

Sure! Here's a simple implementation in Python:

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]

This function stores the results of each Fibonacci calculation in a dictionary.

Are there other programming languages that use memoization?

Yes, memoization can be implemented in many languages, including JavaScript, Java, and C++. The concept remains the same across languages.

What are the benefits of using memoization?

The main benefits of memoization are improved performance and reduced computation time, especially for recursive functions with overlapping subproblems.