Merge Three Sorted binary trees
Last updated: March 25, 2026
Quick Overview
Given three sorted binary trees, merge them into a single binary tree that maintains the sorted order of the elements. The output should be a new binary tree that contains all the elements from the input trees, with duplicates allowed. Your solution should efficiently traverse and combine the trees while preserving their sorted properties.
xAI
March 25, 20262
9
4,433 solved
Given three sorted binary trees, merge them into a single binary tree that maintains the sorted order of the elements. The output should be a new binary tree that contains all the elements from the input trees, with duplicates allowed. Your solution should efficiently traverse and combine the trees while preserving their sorted properties.
Coding interviews at xAI 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
- What is the worst-case input for your solution?
- How would you test this solution thoroughly?
- Can you optimize the space complexity of your solution?
- How would your solution change if the input was sorted?
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Problem Analysis
To merge three sorted binary trees into a single sorted binary tree, we can leverage the properties of the binary search tree (BST). Each tree is inherently sorted, meaning that an in-order traversal ...
Approach
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In-order Traversal: Define a function that performs an in-order traversal on a given binary tree and collects the nodes' values into a list. This can be done recursively or iteratively.
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