inversion on Binary Tree

Last updated: November 19, 2025

Quick Overview

Given a binary tree, write a function to invert the tree, meaning that for every node, its left and right children are swapped. The function should return the root of the inverted binary tree. For example, if the input is a binary tree represented as a root node, the output should be the root of the inverted tree.

Jump Trading
Coding & Algorithms
Software Engineer
Jump Trading
November 19, 2025
Software Engineer
Technical Screen
Coding & Algorithms
Easy

8

6

4,881 solved


Given a binary tree, write a function to invert the tree, meaning that for every node, its left and right children are swapped. The function should return the root of the inverted binary tree. For example, if the input is a binary tree represented as a root node, the output should be the root of the inverted tree.

Jump Trading 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
  • 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
Graph algorithms and traversal
Sorting and searching
Common algorithm patterns (sliding window, two pointers, BFS/DFS)
Tree structures and recursion
Hash maps and frequency counting
Binary search and divide and conquer
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
  • Can you solve this iteratively instead of recursively (or vice versa)?
  • Can you optimize the space complexity of your solution?
  • How would you test this solution thoroughly?
  • What is the worst-case input for your solution?
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Sample Answer
Problem Analysis

The problem requires us to invert a binary tree by swapping each node's left and right children. This can be efficiently solved using a recursive approach, which is a natural fit for tree structures d...

Approach
  1. Base Case: If the current node is null, return null (this handles the case of an empty tree).
  2. Swap Children: For the current node, swap its left and right children.
  3. *Recursive Calls...

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