rotation on Binary Tree
Last updated: August 26, 2025
Quick Overview
Given a binary tree, perform a rotation operation on the tree around a specified node and return the new root of the tree. The rotation can be either left or right, depending on the specified direction. Ensure that the output maintains the properties of a binary tree and correctly reflects the changes made by the rotation.
Apple
August 26, 20252
14
1,445 solved
Given a binary tree, perform a rotation operation on the tree around a specified node and return the new root of the tree. The rotation can be either left or right, depending on the specified direction. Ensure that the output maintains the properties of a binary tree and correctly reflects the changes made by the rotation.
Apple uses this problem in the Take-home Project to evaluate your algorithmic thinking. They expect you to discuss multiple approaches, analyze trade-offs between them, and implement the optimal solution with clean, readable code.
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
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 if the input doesn't fit in memory?
- How would your solution change if the input was sorted?
- Can you solve this iteratively instead of recursively (or vice versa)?
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Practice DSA ProblemsSample Answer
Problem Analysis
The problem requires us to perform a rotation operation on a binary tree around a specified node. This can be categorized under tree manipulation, specifically focusing on subtree rotations. The most ...
Approach
To perform a rotation, we need to follow these steps:
- Identify the node around which the rotation is to be performed, as well as the direction (left or right).
- For a left rotation around nod...
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