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HomeLeetCode ProblemsMinimum Absolute Sum Difference
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How to Solve Minimum Absolute Sum Difference Problem

Master the Minimum Absolute Sum Difference LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.

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Medium#1818
LeetCode Problem

Minimum Absolute Sum Difference

You are given two positive integer arrays nums1 and nums2, both of length n. The absolute sum difference of arrays nums1 and nums2 is defined as the sum of |nums1[i] - nums2[i]| for each 0 <= i < n (0-indexed). You can replace at most one element of nums1 with any other element in nums1 to minimize the absolute sum difference. Return the minimum absolute sum difference after replacing at most one element in the array nums1. Since the answer may be large, return it modulo 109 + 7. |x| is defined as:

ArrayBinary SearchSortingOrdered Set

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Problem Breakdown

Understanding the Minimum Absolute Sum Difference Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

You are given two positive integer arrays nums1 and nums2, both of length n. The absolute sum difference of arrays nums1 and nums2 is defined as the sum of |nums1[i] - nums2[i]| for each 0 <= i < n (0-indexed). You can replace at most one element of nums1 with any other element in nums1 to minimize the absolute sum difference. Return the minimum absolute sum difference after replacing at most one element in the array nums1. Since the answer may be large, return it modulo 109 + 7. |x| is defined as:

MediumProblem #1818
LeetCode

Minimum Absolute Sum Difference

Related Topics

ArrayBinary SearchSortingOrdered Set

How Phantom Code Helps

Get real-time assistance for Minimum Absolute Sum Difference problems during coding interviews. Phantom Code provides instant solutions and explanations.

Examples

# Example 1

Input
nums1 = [1,7,5], nums2 = [2,3,5]
Output
3

# Example 2

Input
nums1 = [2,4,6,8,10], nums2 = [2,4,6,8,10]
Output
0

# Example 3

Input
nums1 = [1,10,4,4,2,7], nums2 = [9,3,5,1,7,4]
Output
20

Constraints

n == nums1.length
n == nums2.length
1 <= n <= 105
1 <= nums1[i], nums2[i] <= 105

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Solve Minimum Absolute Sum Difference — You are given two positive integer arrays nums1 and nums2, both of length n. The...

Here's the optimal approach using Array:

def solve(input):
# Optimal O(n) solution
return result

Time: O(n)  |  Space: O(n)

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Frequently Asked Questions

Common questions about solving Minimum Absolute Sum Difference and using Phantom Code during coding interviews.

How does Phantom Code help me solve coding problems like Minimum Absolute Sum Difference 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.
What if the interviewer asks follow-up questions or modifications to problems like Minimum Absolute Sum Difference?
Phantom Code adapts in real-time. Screenshot the modified problem or use audio mode to capture the interviewer's follow-up, and get an updated solution within seconds — including edge cases and optimizations.
Can Phantom Code help me communicate my solution for problems like Minimum Absolute Sum Difference?
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.
How does Phantom Code assist with different programming languages for Minimum Absolute Sum Difference type problems?
Phantom Code supports 11 programming languages including Python, Java, C++, JavaScript, TypeScript, Go, Rust, Ruby, Swift, Kotlin, and C#. Set your preferred language and get idiomatic solutions.
What coding mistakes does Phantom Code help me avoid during Minimum Absolute Sum Difference 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.
Is Phantom Code detectable when solving problems like Minimum Absolute Sum Difference during live interviews?
No. Phantom Code runs as an invisible desktop overlay that doesn't appear in screen shares, recordings, or proctoring software. It works with Zoom, HackerRank, CodeSignal, CoderPad, and all major platforms.
How does Phantom Code help when I'm struggling with Minimum Absolute Sum Difference style questions under pressure?
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.
Does Phantom Code work for the coding platforms used in Minimum Absolute Sum Difference interviews?
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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