Transform matrix to tree

Last updated: March 28, 2026

Quick Overview

Given a matrix representing a binary tree, where each element corresponds to a node's value and its position indicates the tree structure, write a function to transform this matrix into a tree data structure. The output should be the root node of the constructed binary tree. Ensure that the function handles edge cases, such as empty matrices or matrices that do not represent valid trees.

Stripe
Coding & Algorithms
Software Engineer
Stripe
March 28, 2026
Software Engineer
Phone Screen
Coding & Algorithms
Medium

217

13

4,591 solved


Given a matrix representing a binary tree, where each element corresponds to a node's value and its position indicates the tree structure, write a function to transform this matrix into a tree data structure. The output should be the root node of the constructed binary tree. Ensure that the function handles edge cases, such as empty matrices or matrices that do not represent valid trees.

Stripe uses this problem in the Phone 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
Dynamic programming and memoization
Time and space complexity analysis
Binary search and divide and conquer
Data structure selection and trade-offs
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 parallelize this solution?
  • What if the input doesn't fit in memory?
  • How would your solution change if the input was sorted?
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Problem Analysis

The problem requires us to transform a matrix into a binary tree representation. Each element in the matrix represents a node in the binary tree, and its position indicates the structure of the tree: ...

Approach
  1. Check if the input matrix is empty. If it is, return None as there is no tree to construct.
  2. Initialize a queue to facilitate level-order traversal of the matrix.
  3. Create the root node from the...

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