Implement Priority Queue with streaming input

Last updated: August 7, 2025

Quick Overview

Implement a Union Find data structure that supports get and put operations in O(n) time.

Palo Alto Networks
Coding & Algorithms
Software Engineer
Palo Alto Networks
August 7, 2025
Software Engineer
Take-home Project
Coding & Algorithms
Medium

2

4

3,297 solved


Implement a Union Find data structure that supports get and put operations in O(n) time.

This coding problem is frequently asked during Take-home Project 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
Time and space complexity analysis
Edge cases and input validation
Common algorithm patterns (sliding window, two pointers, BFS/DFS)
Dynamic programming and memoization
Graph algorithms and traversal
Tree structures and recursion
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 solve this iteratively instead of recursively (or vice versa)?
  • How would your solution change if the input was sorted?
  • How would you test this solution thoroughly?
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