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It's basically number of islands with a threshold check instead of a '1' vs '0' comparison.
Model the grid as a graph where each cell with value ≤ 4 is a node, and edges connect horizontally or vertically adjacent cloud cells. Then count the number of connected components using either BFS/DFS or Union-Find. Clearly state the time and space complexity, and discuss trade-offs between the two approaches.
Pro tip: Mention that you can mutate the grid in-place to mark visited cells (e.g., set to -1) to save space, but clarify that this modifies the input; if that's not allowed, use a separate visited matrix. Also, proactively discuss edge cases like empty grid or all non-cloud cells.
Confirm that clouds are connected components of cells with value ≤ 4, using 4-directional adjacency. Ask about input constraints (e.g., grid size, whether modification is allowed) to guide algorithm choice.
Decide between BFS/DFS (simpler, O(mn) time) and Union-Find (good for dynamic connectivity, but overkill here). Explain your choice based on constraints and clarity.
Iterate through each cell; when you find an unvisited cloud cell, increment the cloud count and perform BFS/DFS to mark all connected cloud cells as visited.
State time complexity O(mn) and space complexity O(mn) for visited matrix (or O(1) if mutating input). Discuss edge cases: empty grid, no cloud cells, all cloud cells, single row/column.
Walk through a small example to ensure correctness, and consider potential pitfalls like recursion depth for large grids (prefer iterative BFS or increase recursion limit).
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