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I went straight for the sorted-key approach because it's the one I'd practiced most.
Start by clarifying the problem and edge cases, then present the sorted-string key approach as a baseline, followed by the character-count key approach as an optimization. For each, explain the algorithm, walk through a small example, and analyze time and space complexity, highlighting trade-offs.
Pro tip: Emphasize that the character-count key avoids sorting and can be more efficient for long strings, but requires careful encoding to avoid collisions; mention that in practice, the sorted-string approach is often simpler and fast enough due to short strings.
Ask about input constraints (string length, character set, number of strings) and expected output format. Discuss edge cases like empty strings, single-character strings, and duplicate groups.
Explain that sorting each string yields a canonical key; use a hash map to group strings with the same key. Provide a code sketch or pseudocode.
Time: O(N * K log K) where N is number of strings and K is max length; space: O(N * K) for the hash map and output. Mention that sorting dominates.
Explain that counting character frequencies yields a key (e.g., a tuple of counts or a delimited string). Use a hash map to group anagrams. Provide pseudocode.
Time: O(N * K) since counting is linear; space: O(N * K) for keys and output. Compare with sorted approach: better asymptotic time for large K, but keys may be larger; discuss trade-offs.
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