Array Difference Minimum Problem on Leetcode
Hey everyone! Today we’re solving LeetCode Problem 1200: Minimum Absolute Difference. This is a simple but powerful problem that shows how sorting can make pair comparisons much easier.”
2. Problem Statement
You’re given an array of distinct integers.
Find all pairs of numbers with the smallest absolute difference.
Return them in ascending order.
Each pair should be written as [a, b] where a is smaller than b.
Example:
Input: arr = [4, 2, 1, 3]
Output: [ [1, 2], [2, 3], [3, 4] ]
Explanation: The minimum absolute difference is 1.
3. Intuition
Sorting is the key.
Once sorted, the smallest difference will always be between consecutive elements.
This avoids brute force checking of all pairs.
4. Step-by-Step Solution
Sort the array.
Find the minimum difference between consecutive elements.
Collect all pairs that match this minimum difference.
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