The hashmap version I got out pretty cleanly.
Start by clarifying the problem and edge cases, then present the hashmap approach with O(n) space, followed by the interleaving approach with O(1) extra space. For each, walk through the algorithm step-by-step, analyze time and space complexity, and discuss trade-offs such as code simplicity, mutation of input, and practical considerations.
Pro tip: Emphasize that the O(1) space approach temporarily modifies the original list, which may be unacceptable in concurrent or immutable settings; always ask if input mutation is allowed. Also, mention that the hashmap approach is often preferred in practice for its simplicity and safety, despite higher space usage.
Ask about input mutation constraints, list size, and whether null pointers are allowed. Discuss edge cases like empty list, single node, and random pointers to null.
Explain mapping original nodes to their copies in a hashmap, then setting next and random pointers for copies using the map. Analyze O(n) time and O(n) space.
Describe inserting copy nodes after each original node, setting random pointers for copies, then separating the two lists. Analyze O(n) time and O(1) extra space.
Discuss space vs. simplicity, input mutation, and suitability for production. Mention that the interleaving approach is more complex and error-prone but meets strict space constraints.
Reiterate the two approaches, their complexities, and when to use each. Offer to code either approach if needed.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.