Computational Theory Questions
Dynamic programming is a problem-solving technique in computer science and mathematics that involves breaking down a complex problem into smaller overlapping subproblems and solving them in a bottom-up manner. It uses the principle of optimal substructure, which states that an optimal solution to a problem can be constructed from optimal solutions to its subproblems. By storing the solutions to subproblems in a table or memoization array, dynamic programming avoids redundant computations and improves efficiency. This approach is commonly used to solve optimization problems and is particularly effective when the problem exhibits overlapping subproblems.