Dynamic Programming -

There are two standard ways to implement dynamic programming solutions:

To apply dynamic programming effectively, a problem must typically exhibit two primary properties: Dynamic Programming

: This approach starts with the original complex problem and breaks it down recursively. It uses a data structure (like an array or hash map) to store ("memoize") the results of subproblems so they can be reused when encountered again. There are two standard ways to implement dynamic

: This approach starts by solving the smallest possible subproblems first and iteratively builds up to the solution of the original problem, usually filling out a table (matrix or array) in the process. Dynamic Programming

: The same smaller problems are solved multiple times during a naive recursive approach.