Multi-source BFS from all dashmarts simultaneously, precompute distances, then answer queries in O(1).
Use multi-source BFS starting from all dashmarts simultaneously to compute the shortest distance to the nearest dashmart for every cell in one pass. Then answer each query in O(1) by looking up the precomputed distance, returning -1 for impassable cells or unreachable cells.
Pro tip: Mention that multi-source BFS is optimal because it explores each cell once, and clarify that you would handle edge cases like no dashmarts, queries on impassable cells, and large grids by using a queue and distance matrix.
Confirm grid dimensions, cell types, and query format. Check for edge cases like empty grid or no dashmarts.
Create a distance matrix initialized to -1. Enqueue all dashmart coordinates with distance 0.
Process queue, exploring 4-directional neighbors. Skip impassable cells and already visited cells. Update distances and enqueue.
For each query, return the precomputed distance if the cell is open and reachable; otherwise return -1.
State time complexity O(m*n + q) and space complexity O(m*n), where q is number of queries.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
Clarify the problem constraints and define the scoring function precisely, then discuss algorithmic options like precomputing nearest dashmarts or using a priority queue for each query. Emphasize the tie-breaking rules and how to efficiently compute effective busy scores.
Pro tip: Mention that you would precompute the nearest dashmarts for each cell to avoid scanning all dashmarts per query, and use a heap to maintain the top candidates according to the tie-breaking order.
Ask about grid size, number of dashmarts, number of queries, and whether queries are online or offline. Confirm the distance metric (Manhattan or Euclidean) and the tie-breaking order.
Restate the effective busy score formula: max(0, base - alpha * d). Note that alpha may be given per query or globally, and that distance d is the shortest path distance from the query cell to the dashmart.
Propose a multi-source BFS from all dashmarts to compute nearest dashmarts for each cell, or for each query, use a priority queue to explore reachable dashmarts in order of effective busy score. Discuss trade-offs between precomputation and per-query computation.
Explain how to compare candidates: first by effective busy score (descending), then by distance (ascending), then by row (ascending), then by column (ascending). Use a custom comparator or sort key.
State the time and space complexity of your approach. If needed, optimize by pruning dashmarts that cannot beat the current best due to distance or base score.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.