Implement LRU Cache with with follow-up
Last updated: December 16, 2025
Quick Overview
Implement a Bloom Filter data structure that supports push, pop, and peek operations in O(n) time.
Bloomberg
December 16, 202524
12
4,772 solved
Implement a Bloom Filter data structure that supports push, pop, and peek operations in O(n) time.
This coding problem is frequently asked during Onsite at Bloomberg. The interviewer is testing your ability to translate a problem into clean, working code while discussing time and space complexity. Bloomberg expects candidates to write production-quality code, not just solve the puzzle.
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
How to Approach This
- Clarify input constraints and edge cases before writing code.
- Walk through your approach verbally and confirm with the interviewer before coding.
- Start with a brute force solution, then optimize. Mention time and space complexity.
- Test your solution with examples, including edge cases like empty input or duplicates.
- Consider common patterns: sliding window, two pointers, hash map, BFS/DFS, dynamic programming.
Possible Follow-up Questions
- How would you parallelize this solution?
- Can you optimize the space complexity of your solution?
- How would you test this solution thoroughly?
- What is the worst-case input for your solution?
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Problem Analysis
The problem requires us to implement a Bloom Filter data structure which supports push, pop, and peek operations in O(n) time. The Bloom Filter is a space-efficient probabilistic data structure ...
Approach
- Data Structure Components: We will set up a bit array initialized to zero, and multiple hash functions that will map our input data to indices in the bit array. The number of hash functions wil...
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