Implement Union Find with O(n) time
Last updated: May 3, 2026
Quick Overview
Implement a Priority Queue data structure that supports get and put operations in O(n) time.
Datadog
May 3, 202697
11
2,182 solved
Implement a Priority Queue data structure that supports get and put operations in O(n) time.
Datadog uses this problem in the Phone Screen to evaluate your algorithmic thinking. They expect you to discuss multiple approaches, analyze trade-offs between them, and implement the optimal solution with clean, readable code.
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
- How would your solution change if the input was sorted?
- 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
To implement a Priority Queue that supports get and put operations in O(n) time, we need to analyze the characteristics of a priority queue. In traditional implementations, priority queues are oft...
Approach
- Initialization: Create an empty list to store the elements of the priority queue.
- Put Operation: When inserting a new element, we will append it to the list and then sort the list to ma...
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