Implement Bloom Filter with O(1) space
Last updated: June 12, 2026
Quick Overview
Implement a Union Find data structure that supports get and put operations in O(1) time.
Citadel
June 12, 20264
12
2,785 solved
Implement a Union Find data structure that supports get and put operations in O(1) time.
Coding interviews at Citadel focus on problem-solving approach as much as the final solution. The interviewer wants to see you break down the problem, consider edge cases, and optimize iteratively. Communication throughout the process is key.
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
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
- Can you optimize the space complexity of your solution?
- What happens if the input contains duplicates?
- How would you test this solution thoroughly?
- How would you parallelize this solution?
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Practice DSA ProblemsSample Answer
Problem Analysis
The problem requires us to implement a Union-Find data structure that supports 'get' and 'put' operations in O(1) time. The key here is understanding the Union-Find (or Disjoint Set Union, DSU) struct...
Approach
- Data Structure: Use a dictionary (hash map) to keep track of the parent of each element. Each element will point to its 'root' representative.
- Get Operation: For 'get(x)', find the roo...
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