Published at Aug 22, 2020

# Minimum Absolute Difference in Python

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``````

## Solution:

``````class Solution:
def minimumAbsDifference(arr):
if not arr:
return []

arr.sort()
min_diff = arr[1] - arr[0]
for i in range(2, len(arr)):
min_diff = min(min_diff, (arr[i] - arr[i - 1]))

result = []
for i in range(1, len(arr)):
if arr[i] - arr[i - 1] == min_diff:
result.append([arr[i - 1], arr[i]])
return result

arr = [4,2,1,3]
print(Solution.minimumAbsDifference(arr))

arr = [1,3,6,10,15]
print(Solution.minimumAbsDifference(arr))

arr = [3,8,-10,23,19,-4,-14,27]
print(Solution.minimumAbsDifference(arr))``````