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# [1200. Minimum Absolute Difference](https://leetcode.com/problems/minimum-absolute-difference/)
## 题目
Given an array of **distinct** integers `arr`, find all pairs of elements with the minimum absolute difference of any two elements.
Return a list of pairs in ascending order(with respect to pairs), each pair `[a, b]` follows
- `a, b` are from `arr`
- `a < b`
- `b - a` equals to the minimum absolute difference of any two elements in `arr`
**Example 1:**
Input: arr = [4,2,1,3]
Output: [[1,2],[2,3],[3,4]]
Explanation: The minimum absolute difference is 1. List all pairs with difference equal to 1 in ascending order.
**Example 2:**
Input: arr = [1,3,6,10,15]
Output: [[1,3]]
**Example 3:**
Input: arr = [3,8,-10,23,19,-4,-14,27]
Output: [[-14,-10],[19,23],[23,27]]
**Constraints:**
- `2 <= arr.length <= 10^5`
- `-10^6 <= arr[i] <= 10^6`
## 题目大意
给出一个数组,要求找出所有满足条件的数值对 [a,b]`a<b` 并且 `b-a` 的差值是数组中所有两个元素差值的最小值。
## 解题思路
- 给出一个数组,要求找出所有满足条件的数值对 [a,b]`a<b` 并且 `b-a` 的差值是数组中所有两个元素差值的最小值。
- 简单题,按照题意先排序,然后依次求出两个相邻元素的差值,求出最小的差值。最后遍历一遍数组,把所有等于最小差值的数值对都输出。