This article discusses the dynamic programming (DP) algorithm design technique and uses LeetCode 256 Paint House as an example to demonstrate its application. The problem is to paint n houses with three colors such that no two adjacent houses have the same color. A cost matrix is given, and the goal is to find the minimum cost of painting all the houses. The DP solution has a time complexity of O(n) and a space complexity of O(1) for three colors, and O(nm) and O (m) for m colors. The article provides a detailed explanation of the DP algorithm and includes the code implementation in C++.
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