My first instinct was to just sort and grab the top two, which they pushed back on immediately.
Clarify the problem constraints (e.g., n >= 2, distinct values) and then walk through a single-pass algorithm that maintains two variables for the largest and second-largest values. Emphasize edge cases and the O(n) time, O(1) space complexity.
Pro tip: Mention that this pattern generalizes to finding the top k elements with a heap, but for k=2 a simple two-variable approach is optimal. Also, proactively discuss how you'd handle duplicates or negative numbers.
Ask if n can be less than 2, if values can be negative or duplicate, and whether the second maximum must be strictly less than the maximum. This shows attention to detail.
Set max1 and max2 to negative infinity (or the smallest possible value) to handle negative numbers and ensure correct updates.
For each value, if it's greater than max1, update max2 = max1 and max1 = value; else if it's greater than max2 and not equal to max1, update max2 = value.
After the loop, max2 holds the second largest value. If max2 remains negative infinity, handle the case where no second maximum exists (e.g., all elements equal).
State that time complexity is O(n) and space is O(1). Walk through a small example and edge cases to verify correctness.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.