Optimize partitioning for O(n) time

Last updated: November 16, 2025

Quick Overview

Find an efficient solution for rotation given the O(n) time constraint.

Goldman Sachs
Coding & Algorithms
Software Engineer
Goldman Sachs
November 16, 2025
Software Engineer
Onsite
Coding & Algorithms
Medium

157

11

4,305 solved


Find an efficient solution for rotation given the O(n) time constraint.

This coding problem is frequently asked during Onsite at Goldman Sachs. The interviewer is testing your ability to translate a problem into clean, working code while discussing time and space complexity. Goldman Sachs 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
Dynamic programming and memoization
Binary search and divide and conquer
Edge cases and input validation
Common algorithm patterns (sliding window, two pointers, BFS/DFS)
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 modify your solution to handle streaming input?
  • Can you solve this in a single pass?
  • What is the worst-case input for your solution?
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