Implement Union Find with streaming input
Last updated: November 10, 2025
Quick Overview
Implement a Union-Find data structure that supports union and find operations with streaming input. Your implementation should efficiently handle dynamic connectivity queries, allowing for the merging of sets and determining the connected components in near constant time. Ensure that the data structure can process a sequence of union and find operations provided as input, returning the results of the find operations as output.
OpenAI
November 10, 20250
12
4,672 solved
Implement a Union-Find data structure that supports union and find operations with streaming input. Your implementation should efficiently handle dynamic connectivity queries, allowing for the merging of sets and determining the connected components in near constant time. Ensure that the data structure can process a sequence of union and find operations provided as input, returning the results of the find operations as output.
Coding interviews at OpenAI 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
- What is the worst-case input for your solution?
- Can you solve this in a single pass?
- How would you test this solution thoroughly?
- What if the input doesn't fit in memory?
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Problem Analysis
The problem requires implementing a Union-Find (or Disjoint Set Union, DSU) data structure that efficiently handles dynamic connectivity queries with streaming input. The Union-Find pattern is applica...
Approach
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Data Structure: We will maintain two arrays:
parentandrank. Theparentarray will track the leader of each element, while therankarray will help keep the tree flat. -
**Find Oper...
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