Trie (Prefix Tree) Implementation
Implement the Trie data structure, which supports `insert`, `search`, and `startsWith` operations efficiently. Discuss node structure and traversal.
Why Interviewers Ask This
Google interviewers ask this to evaluate your ability to design efficient, space-optimized data structures for string-heavy workloads. They specifically test if you can balance time complexity against memory usage, as Tries are crucial for autocomplete and search features. This question reveals your understanding of pointer manipulation, edge cases in tree traversal, and whether you prioritize algorithmic efficiency over brute-force solutions.
How to Answer This Question
Key Points to Cover
- Explicitly distinguishing between exact search and prefix search logic
- Choosing between array vs. hash map for children based on alphabet size
- Correctly handling the creation of new nodes during insertion to avoid null pointer exceptions
- Stating linear time complexity relative to string length rather than total dataset size
- Demonstrating awareness of memory overhead trade-offs inherent in tree structures
Sample Answer
Common Mistakes to Avoid
- Confusing the search function with startsWith by requiring the isEnd flag for prefix checks
- Using a global variable instead of passing references correctly during recursive or iterative traversal
- Failing to initialize the root node properly, leading to immediate crashes on the first insert
- Overlooking edge cases like inserting an empty string or searching for a non-existent prefix
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