Sorting first felt obvious and I went with it.
First, sort the array to efficiently find the minimum absolute difference between adjacent elements. Then, scan the sorted array to collect all pairs with that minimum difference, ensuring they are sorted by the first element. Finally, analyze the time and space complexity of your approach.
Pro tip: Mention that sorting is often acceptable in interviews unless the problem explicitly requires preserving the original order or achieving better than O(n log n) time. Also, clarify that the output pairs are naturally sorted by the first element after sorting the array.
Restate the problem to ensure clarity: find all increasing pairs [a, b] where b - a equals the minimum absolute difference between any two elements in the array. The pairs should be sorted by a, then b.
Sort the array in ascending order. This allows efficient computation of the minimum difference by checking adjacent elements.
Iterate through the sorted array and compute the difference between each pair of adjacent elements. Track the minimum difference found.
Iterate again through the sorted array and collect all adjacent pairs whose difference equals the minimum difference. Since the array is sorted, these pairs will automatically be sorted by the first element.
State the time complexity: O(n log n) due to sorting, and O(n) for the scans. Space complexity: O(n) for the output list (or O(1) extra space if we ignore the output).
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.