Merge K Sorted linked lists

Last updated: November 13, 2025

Quick Overview

Given three sorted matrixs, merge them into a single sorted result.

OpenAI
Coding & Algorithms
Software Engineer
OpenAI
November 13, 2025
Software Engineer
Technical Screen
Coding & Algorithms
Medium

17

13

3,254 solved


Given three sorted matrixs, merge them into a single sorted result.

This coding problem is frequently asked during Technical Screen at OpenAI. The interviewer is testing your ability to translate a problem into clean, working code while discussing time and space complexity. OpenAI 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
Binary search and divide and conquer
Sorting and searching
Data structure selection and trade-offs
Common algorithm patterns (sliding window, two pointers, BFS/DFS)
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
  • How would you modify your solution to handle streaming input?
  • What happens if the input contains duplicates?
  • What if the input doesn't fit in memory?
  • Can you optimize the space complexity of your solution?
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Sample Answer
Problem Analysis

To merge K sorted linked lists, we can recognize that the problem involves efficiently combining multiple sorted inputs into a single sorted output. The optimal approach here is to use a **min-heap (p...

Approach
  1. Initialize a Min-Heap: Begin by initializing a min-heap to keep track of the nodes from each linked list.
  2. Push the Head Nodes: Insert the head node of each linked list into the min-heap...

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