Let's dig into the implementation of some of the theoretical programming techniques we have discussed. We start with dynamic programming.

# Technical implementation

# Implementation using dynamic programming

As we have already described, in this approach, we divide a given problem into smaller subproblems. In finding the solution, care is taken not to recompute any of the previously encountered subproblems.

This sounds a bit like recursion, but things are a little different here. A problem may lend itself to being solved by using dynamic programming, but will not necessarily take the form of making recursive calls.

One property that makes a problem an ideal candidate for being solved with dynamic programming is that it has...