README.md

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

Solutions (Rust)

1. Sort

impl Solution {
    pub fn minimum_abs_difference(arr: Vec<i32>) -> Vec<Vec<i32>> {
        let mut arr = arr;
        arr.sort_unstable();
        let mut min = std::i32::MAX;
        let mut ret = Vec::new();

        for i in 1..arr.len() {
            if arr[i] - arr[i - 1] < min {
                min = arr[i] - arr[i - 1];
                ret.clear();
                ret.push(vec![arr[i - 1], arr[i]]);
            } else if arr[i] - arr[i - 1] == min {
                ret.push(vec![arr[i - 1], arr[i]]);
            }
        }

        ret
    }
}