I started with the batch case, used a dict of dicts to store co-occurrence counts, and that part went fine.
Start by clarifying the problem: define the input stream, output format, and tie-breaking rules. Then propose a solution using a hash map to store co-occurrence counts, and a min-heap or sorting to retrieve the top k. Finally, discuss scalability by addressing streaming updates, memory optimization, and complexity analysis.
Pro tip: Demonstrate awareness of real-world constraints by mentioning approximate algorithms like count-min sketch for memory efficiency, and discuss how to handle dynamic updates without recomputing everything from scratch.
Confirm the input format (stream of orders), output (k product IDs), and tie-breaking rule (smaller ID first). Ask about data volume, update frequency, and memory constraints.
Propose a hash map where keys are product IDs and values are another hash map mapping co-occurring product IDs to their counts. This allows efficient updates and queries.
For a given product, retrieve its co-occurrence map, then use a min-heap of size k or sort the entries to get the top k, ensuring ties are broken by smaller product ID.
Discuss incremental updates: for each new order, update counts for all pairs. For memory, consider pruning low-frequency pairs, using approximate counting (e.g., count-min sketch), or sharding by product ID.
Provide time/space complexity for building (O(total pairs) time, O(unique pairs) space) and querying (O(degree) time to retrieve, O(k log k) to sort). Discuss trade-offs between exact and approximate methods.
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