This is basically LC 755 but they want you to build it from scratch in context of a prior terrain problem.
Clarify the problem constraints and edge cases first, then propose a simulation approach that models water flow using a priority queue or BFS to find the lowest adjacent position. Discuss trade-offs between time/space complexity and accuracy, and consider optimizations like precomputing flow directions or using union-find for efficient water accumulation.
Pro tip: Demonstrate awareness of real-world water behavior by mentioning that water can pool and overflow, and that the 'left preferred over right' rule introduces a deterministic tie-breaking that must be handled consistently. Also, discuss how to handle large volumes efficiently, perhaps by batching units or using a mathematical approach to avoid unit-by-unit simulation.
Ask about input size, volume magnitude, and whether water can flow off the grid. Confirm the tie-breaking rule and output format.
Decide between unit-by-unit simulation (simple but slow) and a more efficient approach like event-based simulation or using a priority queue to track water levels.
Outline steps: start at pour column, for each unit find the lowest adjacent cell (left first), move water there, repeat until volume exhausted or water cannot move. Handle pooling and overflow.
Discuss time and space complexity. Propose optimizations like memoizing flow paths, using union-find for connected components, or simulating in batches.
Walk through examples: flat terrain, steep slopes, pour at edge, large volume, and tie-breaking scenarios to ensure correctness.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.