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This felt more like a data engineering question than a data science one, which threw me a bit.
Start by clarifying the pivot spec and edge cases (e.g., missing values, multiple values per cell, aggregation function behavior). Then outline a two-pass algorithm: first group rows by index and column keys, then aggregate values within each group and assemble the nested dict or 2D structure. Discuss trade-offs between nested dict and 2D array representations, and mention how to handle missing combinations.
Pro tip: Demonstrate awareness of real-world data issues like duplicate entries, missing values, and non-numeric aggregations; also mention that in production you'd likely use pandas.pivot_table, but implementing from scratch shows deeper understanding.
Ask about the expected output format (nested dict vs 2D array), how to handle missing combinations, and whether the aggregation function can be arbitrary (e.g., sum, mean, count).
Choose a nested dict for flexibility or a 2D array for efficiency. Plan to use a dictionary to map (index_key, column_key) to a list of values for aggregation.
Iterate over rows, extract index and column keys, and accumulate values in a temporary structure. Then apply the aggregation function to each group.
Build the nested dict or 2D array from the aggregated results, ensuring all index and column keys are represented, filling missing values appropriately.
Discuss time and space complexity (O(n) for grouping, plus aggregation cost) and trade-offs between nested dict and 2D array, including memory and lookup speed.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.