Merge Two Sorted binary trees
Last updated: June 13, 2026
Quick Overview
Given two binary trees that are each sorted in ascending order, merge them into a single binary tree that maintains the sorted order. The output should be a new binary tree that contains all the nodes from both input trees, with the values arranged correctly.
NVIDIA
June 13, 2026358
11
4,471 solved
Given two binary trees that are each sorted in ascending order, merge them into a single binary tree that maintains the sorted order. The output should be a new binary tree that contains all the nodes from both input trees, with the values arranged correctly.
Coding interviews at NVIDIA 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?
- How would you parallelize this solution?
- Can you optimize the space complexity of your solution?
- What is the worst-case input for your solution?
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Problem Analysis
To merge two sorted binary trees, we can utilize a recursive approach that mimics the process of merging two sorted arrays. The fundamental pattern here is a depth-first traversal of both trees. For e...
Approach
- Base Case: If both nodes are null, return null. If one of the nodes is null, return the other node (this handles cases where one tree is shorter).
- Merge Values: Create a new node with ...
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