LeetCode 1200 | Minimum Absolute Difference | Java | Easy | Sorting & Adjacent Scan | CodeByTushu
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In today’s video, we solve LeetCode 1200 - Minimum Absolute Difference using Sorting and Adjacent Scanning in Java.
We are given an array of distinct integers and asked to find all pairs of elements that yield the minimum absolute difference among any two elements in the array. The pairs must be returned in ascending order. A naive pairwise comparison would require O(n^2) operations, which is too slow for 100,000 elements. By observing the properties of sorted numbers, any minimum absolute difference between distinct numbers must occur between two adjacent elements in the sorted array.
We sort the array in ascending order and perform linear scans across adjacent neighbors. First, we identify the global minimum difference by comparing the current element with the previous element and calculating their difference. Then, we collect all adjacent pairs whose difference equals this minimum value. Since the underlying array is already sorted, the resulting pairs are naturally generated in ascending order, with each pair arranged from smaller to larger. The solution achieves optimal O(n log n) time complexity and O(1) auxiliary space beyond the sorting stack.
🔥 Problem Highlights
✅ Mathematical observation: minimum difference between distinct integers always occurs between adjacent elements in sorted order
✅ In-place sorting provides efficient ordering of array elements
✅ Avoids O(n^2) all-pairs comparison, reducing time complexity to O(n log n)
✅ Natural ascending ordering guarantee for both pair members and overall list order
✅ No extra memory overhead beyond output collection and recursion stack frames
✅ Optimal O(n log n) overall time complexity and O(1) auxiliary space complexity
⏱️ TIMESTAMPS
00:00 Intro
01:11 Problem Understanding and Constraints
02:50 Core Observations and Mathematical Insight
03:51 Algorithmic Approach and Scanning Strategy
05:09 Line-by-Line Java Code Walkthrough
06:17 Step-by-Step Test Run and Dry Run
07:53 Time Complexity Analysis
08:45 Space Complexity Analysis
09:35 Outro and Key Takeaways
📂 Problem Folder and Detailed Documentation:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/tree/main/solutions/January/26-January/1200-Minimum-Absolute-Difference
☕ Java Solution:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/blob/main/solutions/January/26-January/1200-Minimum-Absolute-Difference/Solution.java
🐍 Python Solution:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/blob/main/solutions/January/26-January/1200-Minimum-Absolute-Difference/solution.py
⚡ C++ Solution:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/blob/main/solutions/January/26-January/1200-Minimum-Absolute-Difference/solution.cpp
🌐 JavaScript Solution:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/blob/main/solutions/January/26-January/1200-Minimum-Absolute-Difference/solution.js
🔗 LeetCode Source Code
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🔥 Perfect For
LeetCode Easy Problems
Java DSA Preparation
Sorting Techniques
Linear Scan Patterns
Pair Difference Optimization
Time Complexity Optimization
Coding Interview Preparation
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💬 Question of the Day
Why does the minimum absolute difference in an array of distinct integers always occur between adjacent elements after sorting?
1️⃣ For any three sorted numbers x, y, and z, where x is smaller than y and y is smaller than z, both differences between y and x and between z and y are strictly smaller than the difference between z and x
2️⃣ Sorting elements removes all duplicate differences from the array
3️⃣ Non-adjacent elements have negative differences
4️⃣ The Java Arrays.sort() method automatically groups minimum pairs together
#LeetCode1200 #LeetCode #MinimumAbsoluteDifference #Java #JavaDSA #Sorting #Array #DSA #CodingInterview #ProblemSolving #LeetCodeEasy #DailyLeetCode #JavaProgramming #CodeByTushu
👇 Comment the answer below! 🔥 Close description
In today’s video, we solve LeetCode 1200 - Minimum Absolute Difference using Sorting and Adjacent Scanning in Java.
We are given an array of distinct integers and asked to find all pairs of elements that yield the minimum absolute difference among any two elements in the array. The pairs must be returned in ascending order. A naive pairwise comparison would require O(n^2) operations, which is too slow for 100,000 elements. By observing the properties of sorted numbers, any minimum absolute difference between distinct numbers must occur between two adjacent elements in the sorted array.
We sort the array in ascending order and perform linear scans across adjacent neighbors. First, we identify the global minimum difference by comparing the current element with the previous element and calculating their difference. Then, we collect all adjacent pairs whose difference equals this minimum value. Since the underlying array is already sorted, the resulting pairs are naturally generated in ascending order, with each pair arranged from smaller to larger. The solution achieves optimal O(n log n) time complexity and O(1) auxiliary space beyond the sorting stack.
🔥 Problem Highlights
✅ Mathematical observation: minimum difference between distinct integers always occurs between adjacent elements in sorted order
✅ In-place sorting provides efficient ordering of array elements
✅ Avoids O(n^2) all-pairs comparison, reducing time complexity to O(n log n)
✅ Natural ascending ordering guarantee for both pair members and overall list order
✅ No extra memory overhead beyond output collection and recursion stack frames
✅ Optimal O(n log n) overall time complexity and O(1) auxiliary space complexity
⏱️ TIMESTAMPS
00:00 Intro
01:11 Problem Understanding and Constraints
02:50 Core Observations and Mathematical Insight
03:51 Algorithmic Approach and Scanning Strategy
05:09 Line-by-Line Java Code Walkthrough
06:17 Step-by-Step Test Run and Dry Run
07:53 Time Complexity Analysis
08:45 Space Complexity Analysis
09:35 Outro and Key Takeaways
📂 Problem Folder and Detailed Documentation:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/tree/main/solutions/January/26-January/1200-Minimum-Absolute-Difference
☕ Java Solution:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/blob/main/solutions/January/26-January/1200-Minimum-Absolute-Difference/Solution.java
🐍 Python Solution:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/blob/main/solutions/January/26-January/1200-Minimum-Absolute-Difference/solution.py
⚡ C++ Solution:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/blob/main/solutions/January/26-January/1200-Minimum-Absolute-Difference/solution.cpp
🌐 JavaScript Solution:
https://github.com/CodeByTushu/CodeByTushu-LeetCode-Solutions/blob/main/solutions/January/26-January/1200-Minimum-Absolute-Difference/solution.js
🔗 LeetCode Source Code
📌 Admin type the link
🌐 All LeetCode Solutions
📌 https://codebytushu.com/Leetcode/
📱 Join CodeByTushu on WhatsApp
Get coding updates, LeetCode solutions, daily questions and more.
https://whatsapp.com/channel/0029Vb8k5mCDeON2Xwlkxe40
❤️ Donate
📌 https://codebytushu.com/Leetcode/donate.php
🔥 Perfect For
LeetCode Easy Problems
Java DSA Preparation
Sorting Techniques
Linear Scan Patterns
Pair Difference Optimization
Time Complexity Optimization
Coding Interview Preparation
Problem Solving
🌐 Follow CodeByTushu
▶️ YouTube: https://www.youtube.com/@codebytushu
📸 Instagram: https://instagram.com/codebytushu/
💼 LinkedIn: https://www.linkedin.com/company/codebytushu/
🌍 Website: https://codebytushu.com
🐙 GitHub: https://github.com/CodeByTushu
❤️ Don’t Forget To
👍 Like | 💬 Comment | 🔔 Subscribe
💬 Question of the Day
Why does the minimum absolute difference in an array of distinct integers always occur between adjacent elements after sorting?
1️⃣ For any three sorted numbers x, y, and z, where x is smaller than y and y is smaller than z, both differences between y and x and between z and y are strictly smaller than the difference between z and x
2️⃣ Sorting elements removes all duplicate differences from the array
3️⃣ Non-adjacent elements have negative differences
4️⃣ The Java Arrays.sort() method automatically groups minimum pairs together
#LeetCode1200 #LeetCode #MinimumAbsoluteDifference #Java #JavaDSA #Sorting #Array #DSA #CodingInterview #ProblemSolving #LeetCodeEasy #DailyLeetCode #JavaProgramming #CodeByTushu
👇 Comment the answer below! 🔥 Close description