Implement Segment Tree with O(1) space
Last updated: April 6, 2026
Quick Overview
Implement a Union Find data structure that supports insert, delete, and lookup operations in O(n) time.
Mastercard
April 6, 2026172
5
3,408 solved
Implement a Union Find data structure that supports insert, delete, and lookup operations in O(n) time.
Coding interviews at Mastercard 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
- Identify the correct data structure and algorithm for the problem
- Write clean, bug-free code with proper variable naming
- Analyze time and space complexity correctly
- Handle basic edge cases (empty input, single element)
- Communicate your thought process while coding
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 solve this in a single pass?
- Can you optimize the space complexity of your solution?
- 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 (or Disjoint Set Union) data structure supporting insert, delete, and lookup operations in O(n) time. The Union-Find structure is ideal here because i...
Approach
- Data Structure: Use a list to represent the parent of each element, where the index represents the element and the value at that index represents the parent.
- Insert Operation: When inse...
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