Straightforward once you see it but I tripped over the iteration for a second.
Start by clarifying edge cases (empty list, single point, collinear points) and then describe a single-pass algorithm that tracks minX, maxX, minY, maxY. After computing these, derive width and height, and discuss time/space complexity.
Pro tip: Mention that you can compute the bounding box in one pass without storing all points, which is important for streaming or large datasets. Also, proactively discuss how to handle empty input to avoid errors.
Ask about input size, data types, and expected behavior for empty or single-point lists. Confirm whether the bounding box should be returned as (minX, minY, width, height) or (minX, minY, maxX, maxY).
Explain that you will iterate through the list once, initializing minX, maxX, minY, maxY with the first point. For each subsequent point, update these values accordingly.
If the list is empty, return null or throw an exception as appropriate. For a single point, width and height are zero.
After the loop, calculate width = maxX - minX and height = maxY - minY. Return the results in the expected format.
State that the time complexity is O(n) and space complexity is O(1). Mention that this is optimal since every point must be examined at least once.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.