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I'd done the count-clouds version before so I figured this would be easy.
Treat the grid as a graph where each cloud cell (value ≤ 4) is a node, and edges connect 4-directionally adjacent cloud cells. Use DFS or BFS to explore each connected component, tracking the size of each, and return the maximum size found. This is a classic connected components problem on a grid.
Pro tip: Clarify edge cases upfront (empty grid, no cloud cells, all cloud cells) and mention that you can mutate the grid to mark visited cells (e.g., set to -1) to save space, but note the trade-off of modifying input. Also, discuss iterative vs recursive DFS to avoid stack overflow on large grids.
Confirm the definition of 'cloud' (value ≤ 4), connectivity (4-directional), and edge cases (empty grid, no cloud cells). Ask about grid size constraints to choose the right algorithm.
Decide between DFS (recursive or iterative) and BFS. Both are O(m*n) time; BFS uses a queue and avoids recursion depth issues, while DFS is simpler to code.
Iterate through each cell; when a cloud cell is found, start a traversal to explore the entire connected component, counting cells. Mark visited cells to avoid revisiting (e.g., set to -1 or use a visited set).
After each traversal, compare the component size to the current maximum and update if larger. Continue until all cells are processed.
State time complexity O(m*n) and space complexity O(m*n) in worst case (e.g., all cloud cells). Discuss potential optimizations like early termination if max area exceeds remaining cells.
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