What are some examples of recursive algorithms?

What are some examples of recursive algorithms?

Recursive algorithms are those that solve a problem by solving smaller instances of the same problem. Examples include the Fibonacci sequence, factorial calculation, and tree traversals.

Can you explain how the Fibonacci sequence is calculated recursively?

Sure! The Fibonacci sequence is defined as F(n) = F(n-1) + F(n-2) with base cases F(0) = 0 and F(1) = 1. This means to find F(5), you would calculate F(4) and F(3), and so on.

What are the advantages and disadvantages of using recursion?

Advantages include simpler code and easier problem-solving for complex problems. Disadvantages are higher memory usage and potential stack overflow for deep recursions.

Are there any iterative alternatives to recursive algorithms?

Yes, many recursive algorithms can be rewritten using loops. For example, the Fibonacci sequence can be calculated iteratively using a simple loop to keep track of the last two numbers.