DFS on interval list

Last updated: October 12, 2025

Quick Overview

Apply the Sliding Window algorithm on a matrix to solve this optimization problem.

Palo Alto Networks
Coding & Algorithms
Machine Learning Engineer
Palo Alto Networks
October 12, 2025
Machine Learning Engineer
Take-home Project
Coding & Algorithms
Medium

522

12

4,030 solved


Apply the Sliding Window algorithm on a matrix to solve this optimization problem.

Palo Alto Networks 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
Graph algorithms and traversal
Time and space complexity analysis
Data structure selection and trade-offs
Binary search and divide and conquer
Common algorithm patterns (sliding window, two pointers, BFS/DFS)
Sorting and searching
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 modify your solution to handle streaming input?
  • What is the worst-case input for your solution?
  • Can you solve this in a single pass?
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