Classic two-pointer setup if you know it, but I went with sort-after-squaring first and they pushed me to optimize.
Start by clarifying the problem and edge cases, then propose a two-pointer approach from both ends of the sorted array to build the result in descending order. Compare absolute values, square the larger one, and place it at the end of the result array, moving the corresponding pointer inward. This achieves O(n) time and O(n) space, which is optimal.
Pro tip: Mention that the two-pointer approach works because the largest square must come from either the most negative or most positive element, and building the result from the end avoids extra sorting. Also, note that you can do it in-place if allowed, but returning a new array is safer.
Ask if the array can contain negative numbers, if it's sorted ascending, and if the output should be a new array. Confirm edge cases like empty array or single element.
Mention that squaring each element and sorting would be O(n log n), which is suboptimal. This shows you understand the baseline.
Use two pointers at the start and end of the array. Compare absolute values, square the larger one, and place it at the end of the result array, moving the pointer inward.
Demonstrate with a small array like [-4, -1, 0, 3, 10] to show how the pointers move and the result is built from the back.
State O(n) time and O(n) space. Discuss handling empty array, all negatives, all positives, and duplicates.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.