Pretty well-documented problem in the prep community so I wasn't totally blindsided.
Clarify the maze representation, movement rules, and whether any path suffices or the shortest path is required. Then choose BFS for shortest path or DFS for any path, and walk through the algorithm with complexity analysis and edge cases.
Pro tip: Meta interviewers value clean, bug-free code and strong communication. Before coding, restate the problem and confirm assumptions; after coding, test with a small example and discuss trade-offs like memory vs. time.
Ask about grid dimensions, obstacle representation, allowed moves (4-directional or 8-directional), and whether the path must be shortest. Confirm start and end points and if diagonal moves are permitted.
If shortest path is needed, use BFS; otherwise DFS is simpler. Explain why BFS guarantees shortest path in unweighted grids and mention alternatives like A* if heuristics are allowed.
Describe using a queue for BFS (or stack for DFS), a visited set to avoid cycles, and parent pointers to reconstruct the path. Mention boundary checks and obstacle handling.
Write clean code with helper functions if needed. Test with a small maze, including edge cases like no path, start equals end, and large grids.
State time and space complexity: O(R*C) for both BFS and DFS. Discuss potential optimizations like bidirectional BFS or using a visited matrix instead of a set for better performance.
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