rotation on Binary Tree

Last updated: May 14, 2026

Quick Overview

Given a binary tree, perform a rotation operation on the tree and return the new root of the modified tree. The rotation can be either a left or right rotation, depending on the specified direction. Ensure that the tree maintains its binary search tree properties after the rotation.

Redfin
Coding & Algorithms
Software Engineer
Redfin
May 14, 2026
Software Engineer
Technical Screen
Coding & Algorithms
Medium

3

9

2,207 solved


Given a binary tree, perform a rotation operation on the tree and return the new root of the modified tree. The rotation can be either a left or right rotation, depending on the specified direction. Ensure that the tree maintains its binary search tree properties after the rotation.

Redfin uses this problem in the Technical Screen 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
  • 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
Graph algorithms and traversal
Tree structures and recursion
Time and space complexity analysis
Sorting and searching
Hash maps and frequency counting
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 modify your solution to handle streaming input?
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Sample Answer
Problem Analysis

The problem involves performing a rotation on a binary tree while maintaining its binary search tree (BST) properties. The key patterns applicable here are tree manipulation and recursion. The rotatio...

Approach
  1. Identify the node: Start with the node that needs to be rotated. Let's denote it as target.
  2. Determine the rotation direction: If the direction is 'left', we need to perform a left ro...

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