What is dynamic programming and how is it used?

What is dynamic programming and how is it used?

Dynamic programming is a method for solving complex problems by breaking them down into simpler subproblems. It's often used in optimization problems.

Can you give me an example of a problem that can be solved using dynamic programming?

Sure! A classic example is the Fibonacci sequence, where each number is the sum of the two preceding ones. Dynamic programming can efficiently compute Fibonacci numbers by storing previously calculated values.

What are the key principles behind dynamic programming?

The key principles are overlapping subproblems and optimal substructure. This means that the problem can be broken down into smaller, reusable parts.

How does dynamic programming differ from divide and conquer?

Dynamic programming solves overlapping subproblems by storing results, while divide and conquer breaks problems into independent subproblems and solves them separately.