The deduplication part clicked pretty fast.
First, clarify the requirements and constraints, then propose a two-phase solution: deduplicate while preserving the first occurrence, and sort the deduplicated array using a custom sorting algorithm like quicksort or mergesort. Explain the time and space complexity of each phase and the overall solution.
Pro tip: Mention that for small arrays (75 elements), even an O(n^2) sort like insertion sort is acceptable, but demonstrating awareness of O(n log n) algorithms shows depth. Also, discuss trade-offs between using extra space for a hash set versus in-place deduplication.
Confirm with the interviewer whether the array can be modified in-place, if extra space is allowed, and if the order of first occurrences must be preserved before sorting.
Iterate through the array, using a hash set to track seen values. Keep the first occurrence of each value and mark subsequent duplicates as zero (or remove them).
Implement a sorting algorithm such as quicksort or mergesort on the deduplicated array. Explain the choice based on time/space trade-offs.
State the time complexity: O(n) for deduplication and O(m log m) for sorting, where m is the number of unique elements. Space complexity: O(m) for the hash set and O(log m) to O(m) for the sort, depending on the algorithm.
Walk through edge cases (all duplicates, no duplicates, already sorted) and discuss potential optimizations or alternative approaches.
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