1200. Minimum Absolute Difference

Easy


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

class Solution:
    def minimumAbsDifference(self, arr: List[int]) -> List[List[int]]:
        arr.sort()
        diff = 10000000
        result = []
        for index in range(1, len(arr)):
            if abs(arr[index] - arr[index-1]) < diff:
                diff = abs(arr[index] - arr[index-1])
        
        for index in range(1, len(arr)):
            if abs(arr[index] - arr[index-1]) == diff:
                result.append([arr[index-1], arr[index]])
        return result

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