The exact match part was fine, nothing to it.
Start by clarifying the data structure and requirements: is the dictionary a hash map or a sorted structure? For exact match, a hash map gives O(1) average lookup; for prefix match, consider a trie or sorted array with binary search. Then implement both functions, discussing trade-offs in time/space complexity and potential optimizations.
Pro tip: Demonstrate awareness of real-world constraints: for prefix search, a trie may be overkill if the dataset is small; instead, a simple linear scan with early termination or sorting + binary search might be more practical. Also, mention that in production, you'd likely use a database index or a library like Redis for such queries.
Ask about the dictionary's implementation (hash map, sorted array, etc.), expected size, frequency of queries, and whether keys are strings. This determines the optimal approach.
For a hash map, simply check if the key exists and return the value; for a sorted array, use binary search. Discuss time complexity: O(1) average for hash map, O(log n) for binary search.
Consider options: linear scan (O(n)), sorted array + binary search to find range (O(log n + k)), or trie (O(m + k) where m is prefix length). Choose based on constraints and explain trade-offs.
Write clean code for both functions, handling empty dictionary, non-string keys (if applicable), and prefix longer than keys. Test with examples.
Mention how these functions might be used in a larger system (e.g., autocomplete, database indexing) and potential improvements like caching or using specialized data structures.
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