<p>Given an array of <strong>distinct</strong> integers <code>arr</code>, find all pairs of elements with the minimum absolute difference of any two elements.</p>

<p>Return a list of pairs in ascending order(with respect to pairs), each pair <code>[a, b]</code> follows</p>

<ul>
	<li><code>a, b</code> are from <code>arr</code></li>
	<li><code>a &lt; b</code></li>
	<li><code>b - a</code> equals to the minimum absolute difference of any two elements in <code>arr</code></li>
</ul>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input:</strong> arr = [4,2,1,3]
<strong>Output:</strong> [[1,2],[2,3],[3,4]]
<strong>Explanation: </strong>The minimum absolute difference is 1. List all pairs with difference equal to 1 in ascending order.</pre>

<p><strong class="example">Example 2:</strong></p>

<pre>
<strong>Input:</strong> arr = [1,3,6,10,15]
<strong>Output:</strong> [[1,3]]
</pre>

<p><strong class="example">Example 3:</strong></p>

<pre>
<strong>Input:</strong> arr = [3,8,-10,23,19,-4,-14,27]
<strong>Output:</strong> [[-14,-10],[19,23],[23,27]]
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>2 &lt;= arr.length &lt;= 10<sup>5</sup></code></li>
	<li><code>-10<sup>6</sup> &lt;= arr[i] &lt;= 10<sup>6</sup></code></li>
</ul>

class Solution:
    def minimumAbsDifference(self, arr: List[int]) -> List[List[int]]:
        # sort arr
        arr.sort()

        result = []

        x, y = 0, 1
        # for each pair
        minimum = arr[-1] - arr[0]
        while y < len(arr):
            # difference between the pair
            diff = arr[y] - arr[x]

            # if the diff is equal to the our minimum, add pair to the result
            if diff == minimum:
                result.append([arr[x], arr[y]])
            # if the diff is smaller than our minimum, store new min, clear result, add pair to result
            elif diff < minimum:
                minimum = diff
                result = []
                result.append([arr[x], arr[y]])
            
            x += 1
            y += 1

        print(result)
        return result

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