I went with DFS because it felt faster to code under pressure.
Clarify the problem constraints (grid size, obstacles, start/end validity) and choose BFS for shortest path or DFS for simplicity. Walk through the algorithm step-by-step, emphasizing visited tracking to avoid cycles, and analyze time/space complexity. Optionally, discuss optimizations like in-place marking or bidirectional BFS.
Pro tip: Mention that you can mark visited cells in-place by modifying the grid (e.g., changing walkable to obstacle) to save space, but note the trade-off of mutating input. Also, consider edge cases like start == end or unreachable end early.
Confirm grid dimensions, movement directions, and whether start/end are valid walkable cells. Handle edge cases like start equals end or out-of-bounds start/end.
Select BFS for shortest path or DFS for simplicity. Explain the choice based on problem requirements (e.g., BFS guarantees shortest path if needed).
Use a queue (BFS) or stack (DFS) to explore neighbors. Track visited cells using a separate boolean matrix or by modifying the grid in-place to avoid revisiting.
During traversal, check if the end cell is reached; if so, return true. If traversal completes without reaching end, return false.
State time complexity O(R*C) and space complexity O(R*C) for visited matrix (or O(min(R,C)) for BFS queue). Mention possible optimizations like bidirectional BFS or in-place marking.
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