## 1200. Minimum Absolute Difference

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`

## Rust Solution

``````struct Solution;

use std::i32;

impl Solution {
fn minimum_abs_difference(mut arr: Vec<i32>) -> Vec<Vec<i32>> {
arr.sort_unstable();
let min = arr
.windows(2)
.fold(i32::MAX, |x, v| i32::min(x, v[1] - v[0]));
let mut res: Vec<Vec<i32>> = vec![];
for v in arr.windows(2) {
if v[1] - v[0] == min {
res.push(v.to_vec())
}
}
res
}
}

#[test]
fn test() {
let arr = vec![4, 2, 1, 3];
let res: Vec<Vec<i32>> = vec_vec_i32![[1, 2], [2, 3], [3, 4]];
assert_eq!(Solution::minimum_abs_difference(arr), res);
let arr = vec![1, 3, 6, 10, 15];
let res: Vec<Vec<i32>> = vec_vec_i32![[1, 3]];
assert_eq!(Solution::minimum_abs_difference(arr), res);
let arr = vec![3, 8, -10, 23, 19, -4, -14, 27];
let res: Vec<Vec<i32>> = vec_vec_i32![[-14, -10], [19, 23], [23, 27]];
assert_eq!(Solution::minimum_abs_difference(arr), res);
}
``````

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