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1. Identify special nodes in matrix ("2", "3", "a", "A" ...)
2. Build graph for these special node (BFS for node edges)
3. Find shortest path from "2" to "3" in the graph
Simple BFS shortest path algorithm does not work since path has dependency
Use DFS to find shortest path, easy to check key->door dependency
4. Reconstruct path
- MFJhang November 05, 2017