Two Pointers on interval list

Last updated: April 26, 2026

Quick Overview

Apply the DFS algorithm on a binary tree to solve this optimization problem.

Dropbox
Coding & Algorithms
Machine Learning Engineer
Dropbox
April 26, 2026
Machine Learning Engineer
Take-home Project
Coding & Algorithms
Medium

3

15

3,703 solved


Apply the DFS algorithm on a binary tree to solve this optimization problem.

Dropbox uses this problem in the Take-home Project 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
Tree structures and recursion
Binary search and divide and conquer
Graph algorithms and traversal
Time and space complexity analysis
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
  • What happens if the input contains duplicates?
  • How would you test this solution thoroughly?
  • What is the worst-case input for your solution?
  • What if the input doesn't fit in memory?
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