Mastering Graph Traversal with Edge Reversal on LeetCode Challenge

🚀 Day 41/100 of My LeetCode Challenge: Mastering Graph Traversal with Edge Reversal! 🎯 Today’s Problem: A clever graph traversal challenge where each node has a one-time switchthat can reverse an incoming edge—then traverse it immediately at double the cost. 🧠 Key Insights: Each node can use its switch at most once to reverse one incoming edge Reversed edges cost 2 × original weight Need to find the minimum cost path from node 0 to node n-1 🔧 My Approach: I modeled this as a Dijkstra's algorithm variant with an extra state dimension: dist[node][used] where used ∈ {0,1} tracks whether we've used the node's switch Maintain both outgoing edges (normal traversal) and incoming edges (if switch not used yet) Priority queue ensures we always expand the lowest-cost path first ⚡ Complexity: Time: O((V + E) log V) — Dijkstra's with modified state Space: O(V + E) — graph representation and distance matrix 📈 The Challenge: This problem beautifully combines: State-space search (tracking switch usage) Graph traversal optimization (Dijkstra's adaptation) Edge manipulation (dynamic reversal mechanics) 🔗 Why This Matters: Problems like these appear in: Network routing with one-time reconfiguration options Resource-constrained pathfinding Real-time strategy games with limited special moves Fault-tolerant network design #LeetCodeChallenge #100DaysOfCode #GraphTheory #Algorithms #DataStructures #ProblemSolving #Dijkstra #Java #CodingInterview #TechCommunity #SoftwareEngineering #Programming

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