I got a working solution pretty fast using a sorted approach but the interviewer kept pushing on time complexity.
Use binary search to find the insertion point of x, then use two pointers to expand outward and collect the k closest elements. Alternatively, use a sliding window of size k and binary search for the optimal starting index. Return the result in ascending order.
Pro tip: Clarify tie-breaking rules upfront and mention that the sorted array allows O(log n + k) time, which is optimal. Also, discuss edge cases like k equal to array length or x outside the array range.
Restate the problem to ensure clarity: given a sorted array, find k closest integers to x, with ties broken by preferring the smaller number. Confirm input sizes and expected time complexity.
Decide between binary search + two pointers or sliding window. Explain why O(log n + k) is achievable and better than sorting by distance (O(n log n)).
For binary search + two pointers: find the insertion point, then compare distances and move pointers inward. For sliding window: binary search for the left bound of the window of size k.
Ensure correct behavior when x is smaller than all elements, larger than all, or when k equals the array length. Apply tie-breaking rule: if distances are equal, choose the smaller element.
State time and space complexity. Walk through a few test cases, including duplicates and negative numbers, to verify correctness.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.