Implement Skip List with O(1) space

Last updated: September 5, 2025

Quick Overview

Implement a Union Find data structure that supports insert, delete, and lookup operations in O(n) time.

Roblox
Coding & Algorithms
Software Engineer
Roblox
September 5, 2025
Software Engineer
Phone Screen
Coding & Algorithms
Medium

9

7

4,652 solved


Implement a Union Find data structure that supports insert, delete, and lookup operations in O(n) time.

Coding interviews at Roblox 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
Hash maps and frequency counting
Time and space complexity analysis
Binary search and divide and conquer
Data structure selection and trade-offs
Dynamic programming and memoization
Graph algorithms and traversal
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
  • What if the input doesn't fit in memory?
  • How would you test this solution thoroughly?
  • How would you modify your solution to handle streaming input?
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Problem Analysis

We need to implement a Union Find data structure that supports insert, delete, and lookup operations in O(n) time while maintaining O(1) space complexity. The Union Find (or Disjoint Set Union, DSU) i...

Approach
  1. Data Structure: We will utilize an array to represent the parent of each element, where the index of the array corresponds to the element itself. This allows us to perform the 'find' operation ...

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