Optimize rotation for O(n) time

Last updated: September 19, 2025

Quick Overview

Given an array of integers representing the elements of a circular array, optimize the rotation of the array such that the operation completes in O(n) time. Your task is to implement a function that takes the array and a rotation count as input, and returns the rotated array as output. Ensure that your solution does not use additional space beyond a constant amount.

Supabase
Coding & Algorithms
Software Engineer
Supabase
September 19, 2025
Software Engineer
Take-home Project
Coding & Algorithms
Medium

24

12

742 solved


Given an array of integers representing the elements of a circular array, optimize the rotation of the array such that the operation completes in O(n) time. Your task is to implement a function that takes the array and a rotation count as input, and returns the rotated array as output. Ensure that your solution does not use additional space beyond a constant amount.

Coding interviews at Supabase focus on problem-solving approach as much as the final solution. The interviewer wants to see you break down the problem, consider edge cases, and optimize iteratively. Communication throughout the process is key.

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
Time and space complexity analysis
Sorting and searching
Edge cases and input validation
Hash maps and frequency counting
Dynamic programming and memoization
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
  • What is the worst-case input for your solution?
  • How would you test this solution thoroughly?
  • Can you solve this iteratively instead of recursively (or vice versa)?
  • How would your solution change if the input was sorted?
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Practice DSA Problems
Sample Answer
Problem Analysis

In this problem, we are given a circular array and need to rotate it by a specified number of positions. The key pattern that applies here is the concept of modular arithmetic, which allows us to effi...

Approach
  1. Normalize the Rotation Count: If the rotation count k is greater than the length of the array n, we can reduce it by calculating k = k % n. This ensures we only perform necessary rotation...

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