Took me a beat to realize they wanted width and height as differences, not the max values themselves.
Clarify the input format and edge cases first, then propose a single-pass O(n) solution that tracks min/max x and y. Compute width and height as max - min, and return the result in the specified order.
Pro tip: Mention that the bounding rectangle is axis-aligned and that width/height are differences, not counts. Also, discuss how you'd handle an empty input list, as it's a common edge case.
Ask about input format (list of tuples/objects), whether points are 2D, and what to return for an empty list. Confirm the order of output: [minX, minY, width, height].
Explain that you'll iterate through all points once, maintaining the minimum and maximum x and y coordinates. This yields O(n) time and O(1) extra space.
Discuss what to do if the list is empty (return empty array or throw error) or has one point (width and height are 0).
After the loop, calculate width = maxX - minX and height = maxY - minY. Return the array in the specified order.
Walk through a small example, like points [(1,2), (3,4)], to verify the output is [1,2,2,2].
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.