223:矩形面积

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huangge1199 2021-09-30 09:27:37 +08:00
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//给你 二维 平面上两个 由直线构成的 矩形请你计算并返回两个矩形覆盖的总面积
//
// 每个矩形由其 左下 顶点和 右上 顶点坐标表示
//
//
//
// 第一个矩形由其左下顶点 (ax1, ay1) 和右上顶点 (ax2, ay2) 定义
// 第二个矩形由其左下顶点 (bx1, by1) 和右上顶点 (bx2, by2) 定义
//
//
//
//
//
// 示例 1
//
//
//输入ax1 = -3, ay1 = 0, ax2 = 3, ay2 = 4, bx1 = 0, by1 = -1, bx2 = 9, by2 = 2
//输出45
//
//
// 示例 2
//
//
//输入ax1 = -2, ay1 = -2, ax2 = 2, ay2 = 2, bx1 = -2, by1 = -2, bx2 = 2, by2 = 2
//输出16
//
//
//
//
// 提示
//
//
// -10 <= ax1, ay1, ax2, ay2, bx1, by1, bx2, by2 <= 10
//
// Related Topics 几何 数学 👍 128 👎 0
package leetcode.editor.cn;
//223:矩形面积
class RectangleArea {
public static void main(String[] args) {
//测试代码
Solution solution = new RectangleArea().new Solution();
}
//力扣代码
//leetcode submit region begin(Prohibit modification and deletion)
class Solution {
public int computeArea(int ax1, int ay1, int ax2, int ay2, int bx1, int by1, int bx2, int by2) {
return (ax2 - ax1) * (ay2 - ay1)
+ (bx2 - bx1) * (by2 - by1)
- Math.max(Math.min(ax2, bx2) - Math.max(ax1, bx1),0)
* Math.max(Math.min(ay2, by2) - Math.max(ay1, by1),0);
}
}
//leetcode submit region end(Prohibit modification and deletion)
}

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<p>给你 <strong>二维</strong> 平面上两个 <strong>由直线构成的</strong> 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> </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> </p>
<p><strong>提示:</strong></p>
<ul>
<li><code>-10<sup>4</sup> <= ax1, ay1, ax2, ay2, bx1, by1, bx2, by2 <= 10<sup>4</sup></code></li>
</ul>
<div><div>Related Topics</div><div><li>几何</li><li>数学</li></div></div><br><div><li>👍 128</li><li>👎 0</li></div>

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