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My first instinct was trie, which felt clean for batched queries.
Clarify the problem constraints (list size, number of queries, word lengths) and discuss trade-offs between preprocessing and query time. Propose a binary search solution on the sorted list for each query, leveraging the lexicographic order to find the first word with the given prefix. Optionally, mention a trie-based approach for scenarios with many queries or dynamic updates.
Pro tip: Emphasize that since the list is already sorted, binary search is optimal for single queries, but if the number of queries is huge, building a trie or using a prefix hash map can reduce per-query time to O(1) at the cost of memory. Discussing these trade-offs shows engineering maturity.
Ask about the size of the word list, number of queries, maximum word length, and whether the list can be modified. This determines the best approach.
For a static sorted list, binary search is efficient. For many queries or dynamic updates, consider a trie or prefix hash map.
For binary search, define a custom comparison that checks if a word starts with the prefix. Find the leftmost index where the word is >= prefix and verify it starts with the prefix.
Binary search per query: O(L log N) time, O(1) space. Trie: O(L) per query, O(total characters) space. Discuss trade-offs.
Consider empty prefix, no matching words, prefix longer than any word, and duplicate words. Walk through examples.
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