Implement an extensible prefix tree

Q: Implement an extensible prefix tree

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Question

Implement a prefix tree (trie) supporting insert(word), search(word), startsWith(prefix), countPrefix(prefix), and erase(word). Optimize for time and memory; handle Unicode characters; and ensure thread-safety or document assumptions. Provide Big-O complexity for each operation, outline test cases (including edge cases like duplicates and deletions of non-existent words), and discuss trade-offs versus alternative data structures.

Implement an extensible prefix tree

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