Minimizing String Conversion Cost with Floyd-Warshall

🚀 Day 488 of #500DaysOfCode 📌 LeetCode Problem: 2976. Minimum Cost to Convert String I Today’s challenge was about minimizing the cost to convert one string into another using a set of given character transformation rules — each with an associated cost. 💡 Key Idea: Model this as a graph problem where each lowercase character is a node, and every transformation is a directed edge with a cost. Then use Floyd–Warshall to compute the minimum conversion cost between all pairs of characters. 🔍 Approach Summary: ✔ Build a 26×26 cost matrix for all character conversions ✔ Use Floyd–Warshall to find the cheapest paths ✔ For each position in the string, sum the cost of converting source[i] → target[i] ✔ Return the total cost — or -1 if impossible ⚙️ Time Complexity: 26³ for preprocessing + O(n) for string traversal, which is efficient even for large inputs. 💬 What I learned today: Graph applications go beyond nodes and edges — even string transformations can be mapped beautifully as a shortest path problem! 🔁 Keep coding. Keep growing. #java #leetcode #codingchallenge #graphalgorithms #floydwarshall

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