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The easy case (weights like 0.3/0.3/0.4 with batch size 10) clicks immediately, three items, three items, four items, done.
Start by clarifying requirements and constraints, then propose a weighted sampling algorithm that maintains long-run proportions using a deterministic or probabilistic approach. Discuss implementation details, trade-offs, and how to handle edge cases like non-integer weights and batch size constraints.
Pro tip: Mention using a deterministic method like the largest remainder method or a probabilistic method like weighted random sampling with a correction mechanism, and highlight the importance of reproducibility and testing for statistical properties.
Ask about data sources, weights, batch size, and whether exact proportions are required per batch or just in the long run. Confirm if randomness is acceptable or if determinism is needed.
Decide between deterministic approaches (e.g., largest remainder method) and probabilistic approaches (e.g., weighted random sampling with correction). Consider using a running count to adjust future batches.
Outline the algorithm: compute expected counts per source per batch, allocate integer counts, and handle remainders. For probabilistic, use a weighted random selection but adjust probabilities based on past deviations.
Implement the algorithm, ensuring it handles cases where weights don't divide evenly, batch size is small, or sources are exhausted. Discuss how to maintain state across batches.
Compare deterministic vs. probabilistic methods in terms of fairness, complexity, and performance. Suggest testing with statistical measures like chi-square to verify long-run proportions.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.