The base trie part felt manageable but the follow-ups are where things got interesting.
Start by clarifying requirements (e.g., case sensitivity, character set, operations needed) and then design a trie with nodes containing children pointers and an is_end flag. Implement core operations (insert, search, startsWith) and discuss trade-offs like memory vs. speed, then adapt the design for follow-up variations such as prefix counting or wildcard matching.
Pro tip: Mention that real stock tickers are often uppercase and limited to A-Z, so you can use a fixed-size array of 26 pointers per node for O(1) child access, but be prepared to discuss memory trade-offs and alternative representations like hash maps for sparse data.
Ask about the character set (e.g., uppercase letters only), expected operations (insert, search, prefix search), and any follow-up variations (e.g., wildcard, count prefixes). This ensures you design the right structure.
Define a TrieNode class with children (array or hash map) and an is_end boolean. Explain the choice based on character set and memory considerations.
Write methods for insert, search (exact match), and startsWith (prefix match). Walk through the logic step-by-step, ensuring edge cases like empty strings are handled.
Discuss time and space complexity: O(L) for operations where L is word length, and memory usage proportional to total characters. Compare with alternatives like hash maps or sorted arrays.
Adapt the trie for variations: e.g., add a count at each node for prefix counting, implement wildcard search with DFS, or support deletion. Explain modifications clearly.
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