Longest Common Subsequence Problem Solved with Dynamic Programming

✳️Day 17 of #100DaysOfCode✳️ Solving the Longest Common Subsequence Problem! 🚀 I recently took on the "Longest Common Subsequence" (LCS) challenge on LeetCode—a classic problem that perfectly illustrates the power of Dynamic Programming. Here’s the step-by-step approach I took: ✅ 1. Problem Decomposition: I broke the problem down into smaller sub-problems. If the last characters of two strings match, they contribute to the subsequence; if not, we explore the possibilities by skipping a character from either string. ✅ 2. Recursive Foundation: I started by defining the base case—if either string is empty, the LCS length is 0. ✅ 3. Optimization with Memoization: Pure recursion leads to redundant calculations (overlapping sub-problems). I implemented a 2D array (dp[n][m]) to store results of previously computed states, significantly boosting performance. ✅ 4. Refinement: Fine-tuning the logic to ensure the time and space complexity were balanced for an efficient "Accepted" result . Always learning, always coding. On to the next challenge! 💻 #LeetCode #Java #DynamicProgramming #CodingLife #SoftwareEngineering #ProblemSolving

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