Implement Union Find with streaming input
Last updated: February 12, 2026
Quick Overview
Implement a Union Find data structure that supports union and find operations with streaming input. The data structure should efficiently handle dynamic connectivity queries, allowing you to merge sets and determine the connected components in a series of input pairs. Your implementation should optimize for time complexity, aiming for nearly constant time for both operations.
Palo Alto Networks
February 12, 2026158
11
4,931 solved
Implement a Union Find data structure that supports union and find operations with streaming input. The data structure should efficiently handle dynamic connectivity queries, allowing you to merge sets and determine the connected components in a series of input pairs. Your implementation should optimize for time complexity, aiming for nearly constant time for both operations.
This coding problem is frequently asked during Technical Screen at Palo Alto Networks. The interviewer is testing your ability to translate a problem into clean, working code while discussing time and space complexity. Palo Alto Networks 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
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?
- Can you solve this in a single pass?
- How would you test this solution thoroughly?
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Practice DSA ProblemsSample Answer
Problem Analysis
The Union-Find data structure, also known as Disjoint Set Union (DSU), is ideal for this problem as it efficiently supports dynamic connectivity queries through union and find operations. Given that t...
Approach
- Initialization: Create a
parentdictionary to map each element to its parent. Initially, each element is its own parent (i.e., it is its own set). Create arankdictionary to keep track of ...
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