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HomeLeetCode ProblemsMinimize Hamming Distance After Swap Operations
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How to Solve Minimize Hamming Distance After Swap Operations Problem

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Medium#1722
LeetCode Problem

Minimize Hamming Distance After Swap Operations

You are given two integer arrays, source and target, both of length n. You are also given an array allowedSwaps where each allowedSwaps[i] = [ai, bi] indicates that you are allowed to swap the elements at index ai and index bi (0-indexed) of array source. Note that you can swap elements at a specific pair of indices multiple times and in any order. The Hamming distance of two arrays of the same length, source and target, is the number of positions where the elements are different. Formally, it is the number of indices i for 0 <= i <= n-1 where source[i] != target[i] (0-indexed). Return the minimum Hamming distance of source and target after performing any amount of swap operations on array source.

ArrayDepth-First SearchUnion Find

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Problem Breakdown

Understanding the Minimize Hamming Distance After Swap Operations Problem

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

Problem Statement

You are given two integer arrays, source and target, both of length n. You are also given an array allowedSwaps where each allowedSwaps[i] = [ai, bi] indicates that you are allowed to swap the elements at index ai and index bi (0-indexed) of array source. Note that you can swap elements at a specific pair of indices multiple times and in any order. The Hamming distance of two arrays of the same length, source and target, is the number of positions where the elements are different. Formally, it is the number of indices i for 0 <= i <= n-1 where source[i] != target[i] (0-indexed). Return the minimum Hamming distance of source and target after performing any amount of swap operations on array source.

MediumProblem #1722
LeetCode

Minimize Hamming Distance After Swap Operations

Related Topics

ArrayDepth-First SearchUnion Find

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Examples

# Example 1

Input
source = [1,2,3,4], target = [2,1,4,5], allowedSwaps = [[0,1],[2,3]]
Output
1

# Example 2

Input
source = [1,2,3,4], target = [1,3,2,4], allowedSwaps = []
Output
2

# Example 3

Input
source = [5,1,2,4,3], target = [1,5,4,2,3], allowedSwaps = [[0,4],[4,2],[1,3],[1,4]]
Output
0

Constraints

n == source.length == target.length
1 <= n <= 105
1 <= source[i], target[i] <= 105
0 <= allowedSwaps.length <= 105
allowedSwaps[i].length == 2
0 <= ai, bi <= n - 1
ai != bi

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Solve Minimize Hamming Distance After Swap Operations — You are given two integer arrays, source and target, both of length n. You are a...

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Frequently Asked Questions

Common questions about solving Minimize Hamming Distance After Swap Operations and using Phantom Code during coding interviews.

How does Phantom Code help me solve coding problems like Minimize Hamming Distance After Swap Operations 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 Minimize Hamming Distance After Swap Operations?
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 Minimize Hamming Distance After Swap Operations?
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 Minimize Hamming Distance After Swap Operations 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 Minimize Hamming Distance After Swap Operations 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 Minimize Hamming Distance After Swap Operations 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 Minimize Hamming Distance After Swap Operations 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 Minimize Hamming Distance After Swap Operations 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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