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How to Solve Minimum Absolute Sum Difference Problem
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Medium#1818
LeetCode ProblemMinimum 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
LeetCodeMinimum Absolute Sum Difference
Related Topics
ArrayBinary SearchSortingOrdered Set
How Phantom Code AI Helps
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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...
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def solve(input):
# Optimal O(n) solution
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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 AI during coding interviews.
How does Phantom Code AI help me solve coding problems like Minimum Absolute Sum Difference during interviews?
Phantom Code AI 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 AI 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 AI help me communicate my solution for problems like Minimum Absolute Sum Difference?
Yes. Phantom Code AI 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 AI assist with different programming languages for Minimum Absolute Sum Difference type problems?
Phantom Code AI 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 AI help me avoid during Minimum Absolute Sum Difference interviews?
Phantom Code AI 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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How does Phantom Code AI 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 AI work for the coding platforms used in Minimum Absolute Sum Difference interviews?
Yes. Phantom Code AI works with all major coding platforms including LeetCode, HackerRank, CodeSignal, CoderPad, HackerEarth, and any browser-based coding environment.
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