Optimize partitioning for with follow-up
Last updated: September 29, 2025
Quick Overview
Given an array of integers, optimize the partitioning of the array into two subsets such that the difference between the sums of the subsets is minimized. You should implement a function that takes the array as input and returns the minimum possible difference.
NVIDIA
September 29, 202510
9
4,719 solved
Given an array of integers, optimize the partitioning of the array into two subsets such that the difference between the sums of the subsets is minimized. You should implement a function that takes the array as input and returns the minimum possible difference.
NVIDIA uses this problem in the Phone Screen 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
- Identify the correct data structure and algorithm for the problem
- Write clean, bug-free code with proper variable naming
- Analyze time and space complexity correctly
- Handle basic edge cases (empty input, single element)
- Communicate your thought process while coding
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
- Can you solve this iteratively instead of recursively (or vice versa)?
- How would you modify your solution to handle streaming input?
- What if the input doesn't fit in memory?
Sharpen Your Skills on Codemia
Practice similar problems with our interactive workspace, get AI feedback, and track your progress.
Practice DSA ProblemsSample Answer
Problem Analysis
This problem can be approached using the Dynamic Programming paradigm, specifically the Subset Sum Problem. The goal is to partition the array into two subsets such that the absolute differenc...
Approach
- Calculate the total sum of the array. For example, if the input array is
[1, 6, 11, 5], the total sum would be1 + 6 + 11 + 5 = 23. - Determine the target sum for each subset. This wou...
Submit Your Answer
