I went straight to BFS which was the right call, but I fumbled a bit explaining why BFS over DFS.
Model the maze as a graph and use BFS to find the shortest path, since each move has uniform cost. Clearly explain the algorithm, then analyze time and space complexity, and finally discuss how to adapt the solution if the start position is passed separately.
Pro tip: Mention that BFS is optimal for unweighted grids and that you can optimize space by using a visited set or modifying the grid in-place, but be mindful of side effects. Also, proactively discuss edge cases like unreachable exit or start at exit.
Confirm the grid representation (e.g., 0 for open, 1 for wall), movement allowed (4-directional), and that start/exit are distinct. Ask if diagonal moves are allowed or if there are any constraints.
State that BFS guarantees the shortest path in an unweighted graph. Describe how you'll use a queue to explore level by level, marking visited cells to avoid cycles.
Outline the steps: enqueue start, track distance, dequeue and check for exit, enqueue valid neighbors, repeat until queue empty. Return distance when exit found, else -1.
Time: O(R*C) since each cell is visited at most once. Space: O(R*C) for the queue and visited set in the worst case.
If start is passed separately, modify the function signature to accept start coordinates. The algorithm remains the same, but you no longer need to search for the start in the grid, simplifying initialization.
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