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leetcode-problemset/leetcode-cn/originData/rectangle-overlap.json
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{
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"question": {
"questionId": "866",
"questionFrontendId": "836",
"categoryTitle": "Algorithms",
"boundTopicId": 1371,
"title": "Rectangle Overlap",
"titleSlug": "rectangle-overlap",
"content": "<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>\n\n<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>\n\n<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>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<pre><strong>Input:</strong> rec1 = [0,0,2,2], rec2 = [1,1,3,3]\n<strong>Output:</strong> true\n</pre><p><strong>Example 2:</strong></p>\n<pre><strong>Input:</strong> rec1 = [0,0,1,1], rec2 = [1,0,2,1]\n<strong>Output:</strong> false\n</pre><p><strong>Example 3:</strong></p>\n<pre><strong>Input:</strong> rec1 = [0,0,1,1], rec2 = [2,2,3,3]\n<strong>Output:</strong> false\n</pre>\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>rect1.length == 4</code></li>\n\t<li><code>rect2.length == 4</code></li>\n\t<li><code>-10<sup>9</sup> &lt;= rec1[i], rec2[i] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>rec1</code> and <code>rec2</code> represent a valid rectangle with a non-zero area.</li>\n</ul>\n",
"translatedTitle": "矩形重叠",
"translatedContent": "<p>矩形以列表 <code>[x1, y1, x2, y2]</code> 的形式表示,其中 <code>(x1, y1)</code> 为左下角的坐标,<code>(x2, y2)</code> 是右上角的坐标。矩形的上下边平行于 x 轴,左右边平行于 y 轴。</p>\n\n<p>如果相交的面积为 <strong>正</strong> ,则称两矩形重叠。需要明确的是,只在角或边接触的两个矩形不构成重叠。</p>\n\n<p>给出两个矩形 <code>rec1</code> 和 <code>rec2</code> 。如果它们重叠,返回 <code>true</code>;否则,返回 <code>false</code> 。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>rec1 = [0,0,2,2], rec2 = [1,1,3,3]\n<strong>输出:</strong>true\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>rec1 = [0,0,1,1], rec2 = [1,0,2,1]\n<strong>输出:</strong>false\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>rec1 = [0,0,1,1], rec2 = [2,2,3,3]\n<strong>输出:</strong>false\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>rect1.length == 4</code></li>\n\t<li><code>rect2.length == 4</code></li>\n\t<li><code>-10<sup>9</sup> &lt;= rec1[i], rec2[i] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>rec1</code> 和 <code>rec2</code> 表示一个面积不为零的有效矩形</li>\n</ul>\n",
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