Merge K Sorted binary trees

Last updated: October 11, 2025

Quick Overview

Given k sorted grids, merge them into a single sorted result.

Two Sigma
Coding & Algorithms
Machine Learning Engineer
Two Sigma
October 11, 2025
Machine Learning Engineer
Onsite
Coding & Algorithms
Medium

34

13

262 solved


Given k sorted grids, merge them into a single sorted result.

This coding problem is frequently asked during Onsite at Two Sigma. The interviewer is testing your ability to translate a problem into clean, working code while discussing time and space complexity. Two Sigma 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
Data structure selection and trade-offs
Edge cases and input validation
Tree structures and recursion
Binary search and divide and conquer
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 your solution change if the input was sorted?
  • Can you solve this in a single pass?
  • What is the worst-case input for your solution?
  • How would you parallelize this solution?
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