Classic BFS/DFS problem and I knew it, but I made the mistake of jumping straight into code without asking which variant they wanted.
Start by clarifying the problem constraints and edge cases, then explain a graph traversal approach (DFS/BFS) to explore connected land cells. Discuss trade-offs between iterative and recursive implementations, and analyze time and space complexity.
Pro tip: Mention that you can optimize space by marking visited cells in-place (e.g., changing '1' to '0') to avoid a separate visited set, and discuss how to handle very large grids that don't fit in memory.
Ask about grid dimensions, input format, and whether modifying the grid is allowed. Confirm that diagonal connections do not count.
Select a graph traversal method like DFS or BFS to explore each island. Explain why it's suitable for this problem.
Decide how to track visited land cells. Discuss in-place modification versus using a separate visited set, and the trade-offs.
Write pseudocode or code, then analyze time and space complexity. Mention that time is O(rows * cols) and space is O(rows * cols) in the worst case for recursion.
Talk about handling large grids, parallelization, or using union-find as an alternative approach. Relate to ML engineering scenarios like image segmentation.
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