Transform string to tree

Last updated: February 16, 2026

Quick Overview

Convert the given array to tree structure following the specified rules.

Shopify
Coding & Algorithms
Machine Learning Engineer
Shopify
February 16, 2026
Machine Learning Engineer
Phone Screen
Coding & Algorithms
Medium

287

3

3,532 solved


Convert the given array to tree structure following the specified rules.

This coding problem is frequently asked during Phone Screen at Shopify. The interviewer is testing your ability to translate a problem into clean, working code while discussing time and space complexity. Shopify 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
Edge cases and input validation
Hash maps and frequency counting
Binary search and divide and conquer
Data structure selection and trade-offs
Dynamic programming and memoization
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 your solution change if the input was sorted?
  • How would you parallelize this solution?
  • Can you solve this iteratively instead of recursively (or vice versa)?
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Sample Answer
Problem Analysis

The problem requires transforming an array into a tree structure based on specific rules. The key pattern here is the use of recursive tree construction. Each element of the array can be viewed as...

Approach
  1. Base Case: If the array is empty, return None as there are no nodes to form a tree.
  2. Recursive Function: Create a function build_tree(arr, start, end) that constructs the tree:
    • Fin...

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