Optimize partitioning for O(1) space
Last updated: July 27, 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, while ensuring that the solution uses O(1) additional space. Your function should return the minimum difference achievable after partitioning the array.
Zscaler
July 27, 202518
9
4,417 solved
Given an array of integers, optimize the partitioning of the array into two subsets such that the difference between their sums is minimized, while ensuring that the solution uses O(1) additional space. Your function should return the minimum difference achievable after partitioning the array.
This coding problem is frequently asked during Phone Screen at Zscaler. The interviewer is testing your ability to translate a problem into clean, working code while discussing time and space complexity. Zscaler 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?
- How would you modify your solution to handle streaming input?
- What happens if the input contains duplicates?
- How would you test this solution thoroughly?
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Practice DSA ProblemsSample Answer
Problem Analysis
The problem requires us to partition an array into two subsets such that the absolute difference of their sums is minimized. This can be recognized as a variation of the 'Partition Problem,' which is ...
Approach
- Calculate Total Sum: Start by calculating the total sum
Sof the array. The ideal case is to find a subset with a sum as close toS/2as possible. - Recursive Function: Create a rec...
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