Optimize partitioning for with follow-up
Last updated: October 15, 2025
Quick Overview
Given an array of integers, optimize the partitioning of the array into two subsets such that the difference between their sums is minimized. You should implement a function that takes the array as input and returns the minimum possible difference.
OpenAI
October 15, 20255
5
3,478 solved
Given an array of integers, optimize the partitioning of the array into two subsets such that the difference between their sums is minimized. You should implement a function that takes the array as input and returns the minimum possible difference.
This coding problem is frequently asked during Onsite at OpenAI. The interviewer is testing your ability to translate a problem into clean, working code while discussing time and space complexity. OpenAI 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
How to Approach This
- Clarify input constraints and edge cases before writing code.
- Walk through your approach verbally and confirm with the interviewer before coding.
- Start with a brute force solution, then optimize. Mention time and space complexity.
- Test your solution with examples, including edge cases like empty input or duplicates.
- Consider common patterns: sliding window, two pointers, hash map, BFS/DFS, dynamic programming.
Possible Follow-up Questions
- How would you parallelize this solution?
- Can you solve this in a single pass?
- How would you test this solution thoroughly?
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Practice DSA ProblemsSample Answer
Problem Analysis
The problem of partitioning an array into two subsets to minimize the difference between their sums can be recognized as a variant of the Subset Sum Problem, which is a well-known problem in compu...
Approach
- Calculate Total Sum: Start by calculating the total sum of the array,
total_sum = sum(arr). - Define Target: Define a target value which is
target = total_sum // 2. - **Dynamic Prog...
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