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I knew this one but still fumbled the heap setup a bit.
Start by clarifying the problem constraints and edge cases, then discuss multiple approaches such as sequential merging, divide-and-conquer, and heap-based merging. Compare their time and space complexities, and implement the most efficient one (heap-based or divide-and-conquer) with clean code and thorough testing.
Pro tip: Mention that a heap-based approach is optimal for large k, but divide-and-conquer is often preferred in practice for its simplicity and lower constant factors. Also, discuss how to handle edge cases like empty lists and duplicate values.
Ask about the number of lists (k), average length, whether lists can be empty, and if the merged list should be a new list or modify existing nodes. Confirm the expected time and space complexity.
Outline at least two approaches: (1) sequentially merging lists one by one, (2) using a min-heap to efficiently select the smallest node among all lists, and (3) divide-and-conquer by merging pairs of lists. Compare their complexities.
Select the most efficient approach based on constraints. For example, if k is large, heap-based O(N log k) is optimal; if k is small, divide-and-conquer may be simpler. Explain your reasoning.
Write clean code for the chosen approach. Use a dummy node to simplify list construction, and handle edge cases like empty input. For heap-based, store (value, list_index, node) tuples.
Walk through test cases: empty lists, single list, lists with different lengths, and duplicate values. Analyze time and space complexity, and discuss potential optimizations or trade-offs.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.