Implement Bloom Filter with O(1) space

Last updated: September 8, 2025

Quick Overview

Implement a Trie data structure that supports insert, delete, and lookup operations in O(log n) time.

Coinbase
Coding & Algorithms
Software Engineer
Coinbase
September 8, 2025
Software Engineer
Onsite
Coding & Algorithms
Medium

130

7

2,241 solved


Implement a Trie data structure that supports insert, delete, and lookup operations in O(log n) time.

This coding problem is frequently asked during Onsite at Coinbase. The interviewer is testing your ability to translate a problem into clean, working code while discussing time and space complexity. Coinbase expects candidates to write production-quality code, not just solve the puzzle.

What the Interviewer Expects
  • Recognize the underlying problem pattern (sliding window, two pointers, BFS/DFS, etc.)
  • Discuss multiple approaches and trade-offs before coding
  • Implement an optimal solution with clean, production-quality code
  • Handle all edge cases including boundary conditions and invalid input
  • Optimize both time and space complexity with clear justification
  • Test your solution systematically with well-chosen examples
Key Topics to Cover
Graph algorithms and traversal
Tree structures and recursion
Binary search and divide and conquer
Sorting and searching
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
  • Can you optimize the space complexity of your solution?
  • Can you solve this in a single pass?
  • How would your solution change if the input was sorted?
  • How would you modify your solution to handle streaming input?
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Sample Answer
Problem Analysis

In this problem, we need to implement a Trie data structure that supports insert, delete, and lookup operations in O(log n) time. The Trie is well-suited for this task as it can efficiently store stri...

Approach
  1. Structure Definition: Define a TrieNode class which contains a dictionary to store child nodes and a boolean to mark the end of a word.
  2. Insert Operation: For inserting a word, traverse ...

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