Welcome to today’s LeetCode Daily Challenge 🚀
In this video, we solve the problem “Minimize Absolute Difference” with a clear intuition, step-by-step explanation, and an optimized approach.
📌 Problem Intuition
The goal of this problem is to minimize the absolute difference between elements by choosing them wisely based on the given condition.
Instead of checking all possible pairs (which is inefficient), we use a smart observation to reduce the time complexity.
🔍 Key Observation
Absolute difference becomes minimum when numbers are closest
Sorting the array helps bring similar values together
We only need to compare adjacent elements (or valid constrained pairs)
🛠️ Approach Explained
✅ Step 1: Sort the array
Sorting helps us compare nearby elements efficiently.
✅ Step 2: Traverse and compare
We iterate through the array and calculate the absolute difference between valid elements.
✅ Step 3: Track the minimum difference
Keep updating the answer whenever we find a smaller difference.
⏱️ Complexity Analysis
Time Complexity: O(n log n) due to sorting
Space Complexity: O(1) or O(n) depending on implementation
This approach easily works within LeetCode constraints.
💡 Why this solution is optimal?
Avoids unnecessary comparisons
Uses mathematical observation
Interview-friendly and clean logic
Works efficiently for large inputs
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