The algorithm itself is basically flood fill, BFS or DFS, not too bad.
Start by clarifying the problem and edge cases, then propose a solution using graph traversal (BFS/DFS) to find connected components, compute the score for each, and sum them. Discuss time/space complexity and trade-offs, and outline test cases including edge cases.
Pro tip: Demonstrate maturity by discussing how to handle large boards with memory constraints, and mention that you would write unit tests for edge cases like empty board or single cell.
Ask questions to confirm understanding: input format, terrain types, crown counts, connectivity definition, and expected output. Confirm edge cases like empty board or no crowns.
Propose using BFS/DFS to find connected components of same terrain. For each component, track size and sum of crowns, then compute product and add to total.
State time complexity O(N*M) and space O(N*M) for visited tracking. Discuss iterative vs recursive DFS to avoid stack overflow, and possible optimizations.
List test cases: all same terrain, all different, mixed, single cell, empty board, board with zero crowns, and large board for performance.
Reiterate the approach, mention potential pitfalls (e.g., integer overflow), and express confidence in implementation.
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