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Use a recursive backtracking approach to build combinations incrementally, iterating through each key's list and recursing to the next key. At the base case (all keys processed), add a copy of the current combination to the result. Alternatively, use an iterative approach with a queue or reduce operation to generate combinations.
Pro tip: Clarify edge cases upfront, such as empty dictionary or empty value lists, and discuss time/space complexity (O(N * M) where N is number of combinations and M is number of keys). Mention that you'd use deep copies to avoid reference issues.
Ask about input constraints, expected output format, and how to handle empty dictionaries or empty value lists. Confirm whether the order of combinations matters.
Decide between recursive backtracking (simpler, more readable) or iterative (e.g., using reduce or BFS). Explain the trade-offs in terms of code clarity and performance.
Write clean code with meaningful variable names. For recursion, define a helper function that takes the current index and current combination, and at each step iterates over the values for the current key.
Walk through a small example (e.g., {'A': [1,2], 'B': [3,4]}) to verify correctness. Also test edge cases like empty dictionary or empty lists.
Discuss time and space complexity. If needed, suggest optimizations like pruning or using generators for large inputs.
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