Merge Two Sorted binary trees

Last updated: February 4, 2026

Quick Overview

Given two sorted graphs, merge them into a single sorted result.

Notion
Coding & Algorithms
Software Engineer
Notion
February 4, 2026
Software Engineer
Take-home Project
Coding & Algorithms
Hard

146

11

3,991 solved


Given two sorted graphs, merge them into a single sorted result.

Coding interviews at Notion 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
  • Quickly identify the optimal approach and its theoretical basis
  • Handle complex algorithm design with multiple interacting components
  • Write concise, elegant code under time pressure
  • Prove correctness of your approach and discuss alternative solutions
  • Optimize beyond the obvious: discuss constant factor improvements
  • Address follow-up variations and explain how the solution generalizes
Key Topics to Cover
Hash maps and frequency counting
Binary search and divide and conquer
Graph algorithms and traversal
Edge cases and input validation
Tree structures and recursion
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?
  • Can you solve this in a single pass?
  • How would you test this solution thoroughly?
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Practice DSA Problems
Sample Answer
Problem Analysis

Start by understanding the input/output format and constraints. Identify the core problem pattern. Ask clarifying questions: Is the input sorted? Can ...

Brute Force Approach

Always start with the simplest correct solution, even if it's not optimal. This shows you can solve the problem and gives you a baseline to optimize f...


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