What is dynamic programming?

Can you explain what dynamic programming is?

Dynamic programming is a method for solving complex problems by breaking them down into simpler subproblems. It is particularly useful for optimization problems.

How does dynamic programming differ from recursion?

While both techniques solve problems by breaking them down, dynamic programming stores the results of subproblems to avoid redundant calculations, whereas recursion may solve the same subproblem multiple times.

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 dynamic programming can efficiently compute Fibonacci numbers by storing previously calculated values.

What are some common applications of dynamic programming?

Dynamic programming is used in various fields, including computer science for algorithms like shortest path, in finance for portfolio optimization, and in bioinformatics for sequence alignment.