I recognized the multi-source BFS angle pretty quickly, seeding from all letter cells at once and letting the wave fill in the dashes.
Model the problem as a multi-source BFS where all letter cells are initial sources. For each dash, track the minimum distance and the smallest letter among sources at that distance. Process the grid level by level to ensure correctness and efficiency.
Pro tip: Clarify edge cases upfront: what if there are no letters? What if a dash is unreachable? Also, mention that you can optimize by stopping BFS once all dashes are filled.
Ask about matrix dimensions, character set, and behavior when no letters exist or dashes are unreachable. Confirm that distance is Manhattan (orthogonal steps).
Explain that BFS from all letters simultaneously guarantees shortest distances. Use a queue to process cells in order of increasing distance.
Maintain a distance matrix and a result matrix. When visiting a dash, if the new distance is smaller, update; if equal, keep the alphabetically smaller letter.
During BFS, for each neighbor, compute new distance and candidate letter. Update if new distance < current or (equal and candidate letter < current letter).
Time O(R*C), space O(R*C). Walk through a small example, including ties, and discuss potential optimizations like early termination.
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