Went with BFS pretty quickly, which felt right.
Start by clarifying the problem constraints (grid size, number of queries, memory limits) and then propose a graph traversal algorithm like BFS or DFS. Explain the trade-offs between BFS and DFS, and discuss optimizations such as bidirectional BFS or A* if applicable.
Pro tip: Demonstrate awareness of real-world constraints by mentioning that for large grids, BFS with a queue is often preferred over DFS due to stack overflow risks, and that bidirectional BFS can significantly reduce search space.
Ask about grid dimensions, whether multiple queries are expected, and if diagonal moves are allowed. Confirm that movement is only up, down, left, right and that blocked cells cannot be traversed.
Select BFS for shortest path or DFS for any path. Discuss trade-offs: BFS uses more memory but finds shortest path; DFS uses less memory but may be slower and risk stack overflow.
Describe how to represent the grid (e.g., 2D array or set of blocked cells) and how to track visited cells. Explain the traversal process step by step.
State time and space complexity: O(R*C) for both BFS and DFS, where R and C are grid dimensions. Mention that bidirectional BFS can reduce time to O(b^(d/2)) in some cases.
Mention bidirectional BFS, A* with Manhattan distance heuristic, and handling edge cases like start or end being blocked, or start equals end.
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