<p>You are given an array of points in the <strong>X-Y</strong> plane <code>points</code> where <code>points[i] = [x<sub>i</sub>, y<sub>i</sub>]</code>.</p>

<p>Return <em>the minimum area of a rectangle formed from these points, with sides parallel to the X and Y axes</em>. If there is not any such rectangle, return <code>0</code>.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2021/08/03/rec1.JPG" style="width: 500px; height: 447px;" />
<pre>
<strong>Input:</strong> points = [[1,1],[1,3],[3,1],[3,3],[2,2]]
<strong>Output:</strong> 4
</pre>

<p><strong class="example">Example 2:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2021/08/03/rec2.JPG" style="width: 500px; height: 477px;" />
<pre>
<strong>Input:</strong> points = [[1,1],[1,3],[3,1],[3,3],[4,1],[4,3]]
<strong>Output:</strong> 2
</pre>

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

<ul>
	<li><code>1 &lt;= points.length &lt;= 500</code></li>
	<li><code>points[i].length == 2</code></li>
	<li><code>0 &lt;= x<sub>i</sub>, y<sub>i</sub> &lt;= 4 * 10<sup>4</sup></code></li>
	<li>All the given points are <strong>unique</strong>.</li>
</ul>

class Solution:
    def minAreaRect(self, points: List[List[int]]) -> int:

        points_set = set([(coords[0], coords[1]) for coords in points])
        diag_pairs = [] # stores pairs of points in format (x1, y1, x2, y2)

        for i, point1 in enumerate(points):
            for j, point2 in enumerate(points):
                if j > i:
                    x1, y1 = point1
                    x2, y2 = point2
                    if x1 != x2 and y2 != y1:
                        pair = (x1, y1, x2, y2)
                        diag_pairs.append(pair)

        ans = float('inf')
        for pair in diag_pairs:
            x1, y1, x2, y2 = pair
            look_for1 = (x1, y2)
            look_for2 = (x2, y1)
            if look_for1 in points_set and look_for2 in points_set:
                area = abs((x2-x1)*(y2-y1))
                ans = min(area, ans)

        return ans if ans != float('inf') else 0








        
26600