https://yxlow07.github.io/tags/tutorial/Recent content in Tutorial on Yu Xuan's PortfolioHugoen-usSat, 10 May 2025 12:00:00 +0800https://yxlow07.github.io/blog/dynamic_programming/Sat, 10 May 2025 12:00:00 +0800https://yxlow07.github.io/blog/dynamic_programming/Introduction to Dynamic Programming Dynamic programming is a powerful technique for solving complex problems by breaking them down into simpler subproblems. It’s particularly useful when the problem has overlapping subproblems and an optimal substructure. Key Principles Optimal Substructure: The optimal solution to a problem contains optimal solutions to its subproblems. Overlapping Subproblems: The same subproblems are solved multiple times when finding the solution. Implementation Example: Fibonacci Sequence The Fibonacci sequence is a classic example of a problem that can be efficiently solved using dynamic programming: