What are recursive algorithms and how do they work?

What are recursive algorithms and how do they work?

Recursive algorithms are algorithms that solve a problem by solving smaller instances of the same problem. They typically involve a base case and a recursive case.

Can you give me an example of a recursive algorithm?

Sure! A classic example is the Fibonacci sequence, where each number is the sum of the two preceding ones. The recursive formula is F(n) = F(n-1) + F(n-2) with base cases F(0) = 0 and F(1) = 1.

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 recursion.

How can I optimize a recursive algorithm?

You can optimize recursive algorithms using techniques like memoization, which stores previously computed results, or by converting them to iterative solutions.