I went straight for a max-heap and started talking through Ad and AdStore classes before I'd even pinned down what the scoring function looked like.
Start by clarifying requirements: scale, update frequency, latency, and whether k is fixed or variable. Then propose a class design with a max-heap (or min-heap of size k) for efficient top-k retrieval, and discuss how to handle inserts and updates (e.g., lazy deletion or decrease-key). Finally, analyze trade-offs between retrieval complexity and update complexity, and suggest optimizations like caching or bucketing for high-throughput scenarios.
Pro tip: Emphasize that in real ad systems, updates (e.g., bid changes) are frequent, so a pure heap with O(log n) updates may be too slow; consider a hybrid approach like a heap with lazy updates or a bucketed priority queue to balance read and write performance.
Ask about scale (number of ads, QPS), update frequency, latency requirements, and whether k is fixed or variable. This determines the appropriate data structure and trade-offs.
Define the Ad class (id, score, metadata) and the AdServer class with methods: insert(ad), update(ad_id, new_score), and get_ads(k). Consider thread-safety if needed.
Use a max-heap for O(1) access to top ad and O(log n) insert/update. For get_ads(k), either extract k elements (O(k log n)) or maintain a sorted structure. Discuss alternatives like balanced BST or skip list.
For score updates, use a hash map to locate the ad in the heap, then perform decrease-key/increase-key (O(log n)). Alternatively, use lazy deletion: mark old entries as stale and skip them during retrieval.
Compare retrieval vs update complexity. If reads dominate, consider a sorted array with O(1) retrieval but O(n) updates. If updates dominate, use a heap with lazy updates. For high throughput, propose caching top-k results or bucketing by score ranges.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.