I almost sorted on (freq, -value) out of muscle memory because I'd practiced a version where ties break by descending value.
First, count the frequency of each error code using a hash map. Then, sort the unique codes by frequency ascending and, for ties, by numeric value ascending. Finally, expand the sorted unique codes back into the output array by repeating each code according to its frequency.
Pro tip: Mention that you can achieve O(n log k) time (where k is the number of unique codes) by sorting only the unique elements, which is more efficient than sorting the entire array when there are many duplicates. Also, clarify that the output must preserve all elements, so the result length equals the input length.
Confirm that the output should contain all original elements, sorted by frequency ascending, with ties broken by smaller numeric value first. Discuss edge cases like empty array, single element, or all elements identical.
Use a hash map to count the occurrences of each unique error code. This takes O(n) time and O(k) space, where k is the number of unique codes.
Extract the unique codes and sort them using a custom comparator: primarily by frequency ascending, and secondarily by numeric value ascending. This takes O(k log k) time.
Iterate through the sorted unique codes and append each code to the result array exactly as many times as its frequency. The result will have the same length as the input.
State the overall time complexity O(n + k log k) and space complexity O(k). Compare with alternative approaches like sorting the entire array first (O(n log n)) and explain why the frequency-counting method is more efficient when duplicates are many.
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