Solved Course Schedule Problem with Topological Sort

🚀 [Day 13/30] Coding Challenge Journey with @Educative.io 💻 💡 Problem: Course Schedule Today’s challenge was all about dependency management — figuring out whether it’s possible to finish all courses given their prerequisites. Essentially, it’s a graph problem disguised as a real-world scheduling issue 🎓 At first, my intuition was to use DFS (Depth First Search) to detect cycles — because if there’s a cycle, you can’t complete all courses. But as I explored further, I realized there’s a more intuitive approach: Topological Sorting using BFS (Kahn’s Algorithm). Here’s how I approached it step by step: 1️⃣ Built a graph representation from the prerequisites list. 2️⃣ Calculated the in-degree (number of incoming edges) for each course. 3️⃣ Used a queue to process all nodes (courses) with zero in-degree — meaning no dependencies. 4️⃣ Repeatedly removed nodes from the queue, reducing the in-degree of dependent nodes. 5️⃣ If all nodes were processed successfully, it meant the course order was possible ✅ This method helped identify cycles efficiently and made the logic easy to reason about — truly a satisfying example of graph traversal in action 🧠 🔍 Key Learnings: Many real-world problems (like task scheduling or project dependencies) can be modeled as graphs. Topological Sort is a must-know technique for problems involving order and precedence. Sometimes, the cleanest logic comes from thinking in terms of relationships, not just data. ✨ Small win — once I saw the connection between course dependencies and graph theory, the problem instantly clicked! #30DaysOfCode #Day13 #CodingChallenge #Educative #DSA #JavaScript #GraphAlgorithms #TopologicalSort #ProblemSolving #LearningJourney #KeepCoding #ProgrammersLife

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