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Description

tab: English
 
<p>Given the coordinates of two <strong>rectilinear</strong> rectangles in a 2D plane, return <em>the total area covered by the two rectangles</em>.</p>
 
<p>The first rectangle is defined by its <strong>bottom-left</strong> corner <code>(ax1, ay1)</code> and its <strong>top-right</strong> corner <code>(ax2, ay2)</code>.</p>
 
<p>The second rectangle is defined by its <strong>bottom-left</strong> corner <code>(bx1, by1)</code> and its <strong>top-right</strong> corner <code>(bx2, by2)</code>.</p>
 
<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<img alt="Rectangle Area" src="https://assets.leetcode.com/uploads/2021/05/08/rectangle-plane.png" style="width: 700px; height: 365px;" />
<pre>
<strong>Input:</strong> ax1 = -3, ay1 = 0, ax2 = 3, ay2 = 4, bx1 = 0, by1 = -1, bx2 = 9, by2 = 2
<strong>Output:</strong> 45
</pre>
 
<p><strong class="example">Example 2:</strong></p>
 
<pre>
<strong>Input:</strong> ax1 = -2, ay1 = -2, ax2 = 2, ay2 = 2, bx1 = -2, by1 = -2, bx2 = 2, by2 = 2
<strong>Output:</strong> 16
</pre>
 
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>
 
<ul>
	<li><code>-10<sup>4</sup> &lt;= ax1 &lt;= ax2 &lt;= 10<sup>4</sup></code></li>
	<li><code>-10<sup>4</sup> &lt;= ay1 &lt;= ay2 &lt;= 10<sup>4</sup></code></li>
	<li><code>-10<sup>4</sup> &lt;= bx1 &lt;= bx2 &lt;= 10<sup>4</sup></code></li>
	<li><code>-10<sup>4</sup> &lt;= by1 &lt;= by2 &lt;= 10<sup>4</sup></code></li>
</ul>
 
 
 
---
 
[submissions](https://leetcode.com/problems/rectangle-area/submissions/) | [solutions](https://leetcode.com/problems/rectangle-area/solutions/)
 
 
tab: 中文
 
<p>给你 <strong>二维</strong> 平面上两个 <strong>由直线构成且边与坐标轴平行/垂直</strong> 的矩形,请你计算并返回两个矩形覆盖的总面积。</p>
 
<p>每个矩形由其 <strong>左下</strong> 顶点和 <strong>右上</strong> 顶点坐标表示:</p>
 
<div class="MachineTrans-Lines">
<ul>
	<li class="MachineTrans-lang-zh-CN">第一个矩形由其左下顶点 <code>(ax1, ay1)</code> 和右上顶点 <code>(ax2, ay2)</code> 定义。</li>
	<li class="MachineTrans-lang-zh-CN">第二个矩形由其左下顶点 <code>(bx1, by1)</code> 和右上顶点 <code>(bx2, by2)</code> 定义。</li>
</ul>
</div>
 
<p>&nbsp;</p>
 
<p><strong>示例 1:</strong></p>
<img alt="Rectangle Area" src="https://assets.leetcode.com/uploads/2021/05/08/rectangle-plane.png" style="width: 700px; height: 365px;" />
<pre>
<strong>输入:</strong>ax1 = -3, ay1 = 0, ax2 = 3, ay2 = 4, bx1 = 0, by1 = -1, bx2 = 9, by2 = 2
<strong>输出:</strong>45
</pre>
 
<p><strong>示例 2:</strong></p>
 
<pre>
<strong>输入:</strong>ax1 = -2, ay1 = -2, ax2 = 2, ay2 = 2, bx1 = -2, by1 = -2, bx2 = 2, by2 = 2
<strong>输出:</strong>16
</pre>
 
<p>&nbsp;</p>
 
<p><strong>提示:</strong></p>
 
<ul>
	<li><code>-10<sup>4</sup> &lt;= ax1 &lt;= ax2 &lt;= 10<sup>4</sup></code></li>
	<li><code>-10<sup>4</sup> &lt;= ay1 &lt;= ay2 &lt;= 10<sup>4</sup></code></li>
	<li><code>-10<sup>4</sup> &lt;= bx1 &lt;= bx2 &lt;= 10<sup>4</sup></code></li>
	<li><code>-10<sup>4</sup> &lt;= by1 &lt;= by2 &lt;= 10<sup>4</sup></code></li>
</ul>
 
 
 
---
 
[提交记录](https://leetcode.cn/problems/rectangle-area/submissions/) | [题解](https://leetcode.cn/problems/rectangle-area/solution/)
 
 

Solutions & Notes

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