Implement Trie with O(n) time

Last updated: April 17, 2026

Quick Overview

Implement a Trie data structure that supports insert, search, and startsWith operations in O(n) time, where n is the length of the input string. Your implementation should efficiently handle multiple strings and provide accurate results for each operation. Ensure that the Trie can accommodate a large set of strings while maintaining optimal performance.

Roblox
Coding & Algorithms
Software Engineer
Roblox
April 17, 2026
Software Engineer
Technical Screen
Coding & Algorithms
Hard

70

6

4,034 solved


Implement a Trie data structure that supports insert, search, and startsWith operations in O(n) time, where n is the length of the input string. Your implementation should efficiently handle multiple strings and provide accurate results for each operation. Ensure that the Trie can accommodate a large set of strings while maintaining optimal performance.

Roblox uses this problem in the Technical Screen to evaluate your algorithmic thinking. They expect you to discuss multiple approaches, analyze trade-offs between them, and implement the optimal solution with clean, readable code.

What the Interviewer Expects
  • Quickly identify the optimal approach and its theoretical basis
  • Handle complex algorithm design with multiple interacting components
  • Write concise, elegant code under time pressure
  • Prove correctness of your approach and discuss alternative solutions
  • Optimize beyond the obvious: discuss constant factor improvements
  • Address follow-up variations and explain how the solution generalizes
Key Topics to Cover
Graph algorithms and traversal
Sorting and searching
Tree structures and recursion
Edge cases and input validation
How to Approach This
  1. Clarify input constraints and edge cases before writing code.
  2. Walk through your approach verbally and confirm with the interviewer before coding.
  3. Start with a brute force solution, then optimize. Mention time and space complexity.
  4. Test your solution with examples, including edge cases like empty input or duplicates.
  5. Consider common patterns: sliding window, two pointers, hash map, BFS/DFS, dynamic programming.
Possible Follow-up Questions
  • How would you modify your solution to handle streaming input?
  • What if the input doesn't fit in memory?
  • Can you solve this in a single pass?
  • How would you parallelize this solution?
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Sample Answer
Problem Analysis

The problem requires us to implement a Trie data structure that can perform insert, search, and startsWith operations efficiently in O(n)O(n) time, where nn is the length of the input string. A Tri...

Approach
  1. Define the TrieNode Class: Each node will contain a dictionary to store child nodes and a boolean to indicate the end of a word.

    Example: For the word 'cat', the root node will have chil...


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