leetcode-problemset/leetcode/problem/rectangle-overlap.html

<p>An axis-aligned rectangle is represented as a list <code>[x1, y1, x2, y2]</code>, where <code>(x1, y1)</code> is the coordinate of its bottom-left corner, and <code>(x2, y2)</code> is the coordinate of its top-right corner. Its top and bottom edges are parallel to the X-axis, and its left and right edges are parallel to the Y-axis.</p>

<p>Two rectangles overlap if the area of their intersection is <strong>positive</strong>. To be clear, two rectangles that only touch at the corner or edges do not overlap.</p>

<p>Given two axis-aligned rectangles <code>rec1</code> and <code>rec2</code>, return <code>true</code><em> if they overlap, otherwise return </em><code>false</code>.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<pre><strong>Input:</strong> rec1 = [0,0,2,2], rec2 = [1,1,3,3]
<strong>Output:</strong> true
</pre><p><strong class="example">Example 2:</strong></p>
<pre><strong>Input:</strong> rec1 = [0,0,1,1], rec2 = [1,0,2,1]
<strong>Output:</strong> false
</pre><p><strong class="example">Example 3:</strong></p>
<pre><strong>Input:</strong> rec1 = [0,0,1,1], rec2 = [2,2,3,3]
<strong>Output:</strong> false
</pre>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>rec1.length == 4</code></li>
	<li><code>rec2.length == 4</code></li>
	<li><code>-10<sup>9</sup> &lt;= rec1[i], rec2[i] &lt;= 10<sup>9</sup></code></li>
	<li><code>rec1</code> and <code>rec2</code> represent a valid rectangle with a non-zero area.</li>
</ul>