Optimize inversion for without recursion

Last updated: December 12, 2025

Quick Overview

Given a binary tree, write a function to invert the tree without using recursion. The function should take the root node of the binary tree as input and return the root of the inverted tree. The inversion should swap the left and right children of all nodes in the tree.

Grafana Labs
Coding & Algorithms
Software Engineer
Grafana Labs
December 12, 2025
Software Engineer
Onsite
Coding & Algorithms
Medium

274

8

805 solved


Given a binary tree, write a function to invert the tree without using recursion. The function should take the root node of the binary tree as input and return the root of the inverted tree. The inversion should swap the left and right children of all nodes in the tree.

Coding interviews at Grafana Labs 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
  • 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
Common algorithm patterns (sliding window, two pointers, BFS/DFS)
Sorting and searching
Hash maps and frequency counting
Tree structures and recursion
Graph algorithms and traversal
Edge cases and input validation
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
  • How would you modify your solution to handle streaming input?
  • What is the worst-case input for your solution?
  • Can you optimize the space complexity of your solution?
  • How would you test this solution thoroughly?
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Sample Answer
Problem Analysis

The problem involves inverting a binary tree, which means swapping the left and right children of all nodes in the tree. The most suitable pattern for this problem is Breadth-First Search (BFS). B...

Approach
  1. Initialization: Start by checking if the root is null. If it is, return null as there’s nothing to invert.
  2. Queue Setup: Create a queue to facilitate the BFS traversal. Initialize it with...

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