Topological Sort on array

Last updated: April 23, 2026

Quick Overview

Apply the Two Pointers algorithm on a grid to solve this optimization problem.

Amazon
Coding & Algorithms
Software Engineer
Amazon
April 23, 2026
Software Engineer
Phone Screen
Coding & Algorithms
Hard

28

9

422 solved


Apply the Two Pointers algorithm on a grid to solve this optimization problem.

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

What the Interviewer Expects
  • Quickly identify the optimal approach and its theoretical basis
  • Handle complex algorithm design with multiple interacting components
  • Write concise, elegant code under time pressure
  • Prove correctness of your approach and discuss alternative solutions
  • Optimize beyond the obvious: discuss constant factor improvements
  • Address follow-up variations and explain how the solution generalizes
Key Topics to Cover
Hash maps and frequency counting
Binary search and divide and conquer
Sorting and searching
Time and space complexity analysis
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
  • Can you solve this iteratively instead of recursively (or vice versa)?
  • What happens if the input contains duplicates?
  • How would you modify your solution to handle streaming input?
  • How would you test this solution thoroughly?
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