I thought I had this figured out in the first two minutes and then spent the next fifteen realizing I did not.
Clarify the definition of 'closest' (absolute difference, tie-breaking) and edge cases like single-digit numbers. Then, generate candidate palindromes by mirroring the first half of the number and adjusting the middle digit, and compare their differences to find the closest.
Pro tip: Always discuss tie-breaking rules and handle edge cases like numbers with all 9s (e.g., 999 -> 1001) and numbers like 10 (closest is 9 or 11). Also, mention that the closest palindrome can be found by considering only a few candidates derived from the first half.
Ask about tie-breaking (e.g., if two palindromes are equally close, which to return?), and consider edge cases like single-digit numbers, numbers with all 9s, and numbers like 10.
Extract the first half of the number, and generate palindromes by mirroring it. Also consider decrementing and incrementing the first half by 1 to cover cases where the closest palindrome has a different first half.
For odd-length numbers, mirror the first half including the middle digit; for even-length, mirror the entire first half. Ensure the generated palindrome has the same number of digits as the original (except when it overflows to the next digit count).
Compute the absolute difference between the original number and each candidate palindrome. Select the one with the smallest difference, applying tie-breaking rules if necessary.
Discuss time and space complexity (O(d) where d is the number of digits). Walk through examples to verify correctness, including edge cases.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.