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The base problem is basically number of islands, BFS or DFS, nothing surprising.
First, explain the standard algorithm for counting islands using BFS/DFS with a visited set, then describe how you would systematically test the provided buggy code with edge cases to identify the bug. Finally, explain the fix and how you would verify it with additional tests.
Pro tip: Demonstrate a methodical debugging process: start with simple cases (e.g., empty grid, single cell) and gradually increase complexity, using print statements or a debugger to trace the code's behavior. This shows you can not only solve the problem but also diagnose and fix real-world code.
Clarify the definition of an island (connected component of 1s using 4-directional adjacency) and any constraints (grid size, input format). Confirm that diagonal connections are not considered.
Describe the BFS/DFS approach: iterate through each cell; when a '1' is found and not visited, increment island count and traverse all connected '1's, marking them visited.
Create a set of test cases covering edge cases: empty grid, all water, all land, single row/column, multiple islands, islands touching diagonally, and larger grids. Run the provided code on these tests to observe incorrect outputs.
Based on test failures, trace the code to locate the bug (e.g., incorrect boundary checks, missing visited marking, wrong traversal order). Explain the fix and why it resolves the issue.
Re-run all test cases to ensure the fix works and doesn't introduce new issues. Optionally, discuss time/space complexity and potential optimizations.
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