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How to Solve Find Array Given Subset Sums Problem
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LeetCode ProblemFind Array Given Subset Sums
You are given an integer n representing the length of an unknown array that you are trying to recover. You are also given an array sums containing the values of all 2n subset sums of the unknown array (in no particular order). Return the array ans of length n representing the unknown array. If multiple answers exist, return any of them. An array sub is a subset of an array arr if sub can be obtained from arr by deleting some (possibly zero or all) elements of arr. The sum of the elements in sub is one possible subset sum of arr. The sum of an empty array is considered to be 0. Note: Test cases are generated such that there will always be at least one correct answer.
ArrayDivide and Conquer
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Problem Breakdown
Understanding the Find Array Given Subset Sums Problem
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Problem Statement
You are given an integer n representing the length of an unknown array that you are trying to recover. You are also given an array sums containing the values of all 2n subset sums of the unknown array (in no particular order). Return the array ans of length n representing the unknown array. If multiple answers exist, return any of them. An array sub is a subset of an array arr if sub can be obtained from arr by deleting some (possibly zero or all) elements of arr. The sum of the elements in sub is one possible subset sum of arr. The sum of an empty array is considered to be 0. Note: Test cases are generated such that there will always be at least one correct answer.
HardProblem #1982
LeetCodeFind Array Given Subset Sums
Related Topics
ArrayDivide and Conquer
How Phantom Code Helps
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Examples
# Example 1
Input
n = 3, sums = [-3,-2,-1,0,0,1,2,3]
Output
[1,2,-3]
# Example 2
Input
n = 2, sums = [0,0,0,0]
Output
[0,0]
# Example 3
Input
n = 4, sums = [0,0,5,5,4,-1,4,9,9,-1,4,3,4,8,3,8]
Output
[0,-1,4,5]
Constraints
1 <= n <= 15
sums.length == 2n
-104 <= sums[i] <= 104
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Solve Find Array Given Subset Sums — You are given an integer n representing the length of an unknown array that you ...
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def solve(input):
# Optimal O(n) solution
return result
Time: O(n) | Space: O(n)
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Frequently Asked Questions
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How does Phantom Code help me solve coding problems like Find Array Given Subset Sums during interviews?
Phantom Code generates complete solutions instantly with proper complexity analysis, letting you focus on explaining your approach and demonstrating problem-solving skills rather than getting stuck on implementation details during high-pressure situations.
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Yes. Phantom Code provides step-by-step approach explanations with 3 progressive thoughts, so you can walk through your solution naturally. It also provides time and space complexity analysis to discuss trade-offs.
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What coding mistakes does Phantom Code help me avoid during Find Array Given Subset Sums interviews?
Phantom Code catches common mistakes like off-by-one errors, missing edge cases, incorrect base conditions, and suboptimal approaches. It provides clean, well-structured code that handles all edge cases.
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The AI provides structured guidance: first the approach (what algorithm/data structure to use and why), then the implementation with clean code, and finally complexity analysis. This helps you think clearly even under pressure.
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Yes. Phantom Code works with all major coding platforms including LeetCode, HackerRank, CodeSignal, CoderPad, HackerEarth, and any browser-based coding environment.
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