Start by clarifying the problem constraints and edge cases, then propose an iterative two-pointer approach that merges the lists in O(n+m) time and O(1) space. Walk through the algorithm step-by-step, and if time permits, discuss alternative solutions like recursion and their trade-offs.
Pro tip: Demonstrate awareness of production concerns by mentioning that you would handle null inputs gracefully and consider whether modifying the input lists is acceptable, as this shows maturity beyond just solving the algorithm.
Ask about input constraints (e.g., can lists be empty? are they singly or doubly linked? can we modify inputs?) and confirm expected output format. This ensures you understand the problem fully before coding.
Explain that you'll use two pointers, one for each list, and a dummy node to build the merged list. Compare the current nodes and append the smaller one to the result, advancing that pointer.
Trace the algorithm on a small example (e.g., 1->3->5 and 2->4->6) to demonstrate correctness and clarify pointer manipulation. This helps catch off-by-one errors early.
State that the iterative solution runs in O(n+m) time and O(1) space. Mention that a recursive solution is also possible but uses O(n+m) stack space, so iterative is preferred for large lists.
Explain how to handle empty lists, lists of different lengths, and duplicate values. Summarize that the dummy node simplifies edge cases and the solution is optimal.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
Start by restating the problem and clarifying constraints (e.g., K lists, total nodes N). Then describe both approaches: divide-and-conquer by pairwise merging and min-heap by always extracting the smallest head. Finally, compare their time and space complexities, and discuss trade-offs like implementation complexity and constant factors.
Pro tip: Mention that the min-heap approach is often preferred in practice for large K due to its O(N log K) time and O(K) space, but divide-and-conquer can be more cache-friendly and has lower constant factors for small K. Also, note that if the lists are very uneven, a heap can be more efficient.
Confirm the number of lists K, total number of nodes N, and whether the lists are sorted. Ask about memory constraints and if in-place merging is required.
Describe how to merge lists in pairs iteratively (like merge sort) until one list remains. Mention that each merge is O(n) and the total time is O(N log K).
Describe inserting the head of each list into a min-heap, then repeatedly extract the minimum, append to result, and insert the next node from that list. Time is O(N log K), space O(K).
Both have O(N log K) time, but divide-and-conquer uses O(1) extra space (if merging in-place) while heap uses O(K). Discuss constant factors, cache performance, and implementation complexity.
Conclude that both are valid; choose based on constraints. For large K, heap may be simpler; for small K or memory-limited, divide-and-conquer is better.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.