traversal on Binary Tree

Last updated: January 27, 2026

Quick Overview

Given a binary tree, implement a function to perform a traversal (in-order, pre-order, or post-order) and return the values of the nodes in the order they are visited as a list. The function should handle edge cases such as empty trees and should be optimized for performance.

Google
Coding & Algorithms
Software Engineer
Google
January 27, 2026
Software Engineer
Technical Screen
Coding & Algorithms
Hard

2

7

4,830 solved


Given a binary tree, implement a function to perform a traversal (in-order, pre-order, or post-order) and return the values of the nodes in the order they are visited as a list. The function should handle edge cases such as empty trees and should be optimized for performance.

Coding interviews at Google 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
  • 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
Time and space complexity analysis
Dynamic programming and memoization
Sorting and searching
Edge cases and input validation
Graph algorithms and traversal
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
  • How would you modify your solution to handle streaming input?
  • Can you solve this iteratively instead of recursively (or vice versa)?
  • Can you solve this in a single pass?
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Sample Answer
Problem Analysis

In this problem, we need to traverse a binary tree using one of the three traversal methods: in-order, pre-order, or post-order. Given that we are dealing with tree structures, the recursive nature of...

Approach

To implement a traversal, we will define a recursive function that accepts a node and a list to which we can append the values. We will choose one traversal method and proceed accordingly.

  1. **Defi...

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