Course Schedule LeetCode Solution with Multiple Approaches

🚀 LeetCode 207 – Course Schedule | From Multiple Approaches → Cleaner Thinking While working on graph problems, I revisited Course Schedule and explored multiple implementations in Java — not just to solve it, but to understand why each approach works. 🔍 Core Idea Courses + prerequisites → Directed Graph Goal → Check if graph has a cycle 👉 If cycle exists → ❌ cannot finish all courses 👉 If no cycle → ✅ valid ordering exists (DAG) 💡 Approach 1: BFS (Kahn’s Algorithm) Build graph + compute in-degree Process nodes with in-degree = 0 Count processed nodes ✔ Intuitive (layer-by-layer removal) ✔ Great for topological sorting ❗ Slight overhead (separate passes) 💡 Approach 2: DFS (Visited + Recursion Stack) Track visited[] and recStack[] Detect back-edge → cycle ✔ Strong conceptual clarity ✔ Useful for many graph problems ❗ Extra space for 2 arrays 💡 Approach 3: Optimized BFS (Single Pass) ⭐ Build graph + in-degree together Use ArrayDeque for performance No extra passes ✔ Cleaner ✔ More efficient in practice ✔ Interview-friendly 💡 Approach 4: DFS with State Array (Latest Submission) 🔥 // 0 = unvisited, 1 = visiting, 2 = visited Replace visited[] + recStack[] with single state[] Detect cycle when visiting a node already in state = 1 ✔ Same time complexity → O(V + E) ✔ Reduced space usage ✔ Cleaner logic (less bookkeeping) 🔥 What Changed My Understanding Same problem. Same complexity. But different implementations gave me: Better control over graph traversal patterns Clear understanding of cycle detection Ability to optimize space without changing logic 📌 Takeaway Don’t stop at “Accepted” ✅ Push further: Try another approach Optimize space or structure Compare trade-offs That’s where real growth happens. #Java #DSA #Graphs #LeetCode #TopologicalSort #BackendDevelopment #LearningInPublic

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Great insights 💡 This made things easier to understand!”

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