traversal on Binary Tree

Last updated: December 20, 2025

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 a list. The function should take the root node of the binary tree as input and output a list of integers representing the order of node values as per the specified traversal method.

Mastercard
Coding & Algorithms
Machine Learning Engineer
Mastercard
December 20, 2025
Machine Learning Engineer
Take-home Project
Coding & Algorithms
Medium

7

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2,894 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 a list. The function should take the root node of the binary tree as input and output a list of integers representing the order of node values as per the specified traversal method.

This coding problem is frequently asked during Take-home Project at Mastercard. The interviewer is testing your ability to translate a problem into clean, working code while discussing time and space complexity. Mastercard expects candidates to write production-quality code, not just solve the puzzle.

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
Time and space complexity analysis
Binary search and divide and conquer
Edge cases and input validation
Sorting and searching
Graph algorithms and traversal
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 in a single pass?
  • What happens if the input contains duplicates?
  • How would you parallelize this solution?
  • How would your solution change if the input was sorted?
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Sample Answer
Problem Analysis

The problem requires traversing a binary tree using one of the traversal methods: in-order, pre-order, or post-order. The key pattern here is a Depth-First Search (DFS) approach, which is particul...

Approach

We will define a function that accepts the root node and returns a list of node values based on the specified traversal method. For example, if we choose in-order traversal, we would visit the left su...


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