leetcode-problemset/leetcode-cn/originData/perfect-rectangle.json

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            "title": "Perfect Rectangle",
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            "content": "<p>Given an array <code>rectangles</code> where <code>rectangles[i] = [x<sub>i</sub>, y<sub>i</sub>, a<sub>i</sub>, b<sub>i</sub>]</code> represents an axis-aligned rectangle. The bottom-left point of the rectangle is <code>(x<sub>i</sub>, y<sub>i</sub>)</code> and the top-right point of it is <code>(a<sub>i</sub>, b<sub>i</sub>)</code>.</p>\n\n<p>Return <code>true</code> <em>if all the rectangles together form an exact cover of a rectangular region</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/03/27/perectrec1-plane.jpg\" style=\"width: 300px; height: 294px;\" />\n<pre>\n<strong>Input:</strong> rectangles = [[1,1,3,3],[3,1,4,2],[3,2,4,4],[1,3,2,4],[2,3,3,4]]\n<strong>Output:</strong> true\n<strong>Explanation:</strong> All 5 rectangles together form an exact cover of a rectangular region.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/03/27/perfectrec2-plane.jpg\" style=\"width: 300px; height: 294px;\" />\n<pre>\n<strong>Input:</strong> rectangles = [[1,1,2,3],[1,3,2,4],[3,1,4,2],[3,2,4,4]]\n<strong>Output:</strong> false\n<strong>Explanation:</strong> Because there is a gap between the two rectangular regions.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/03/27/perfecrrec4-plane.jpg\" style=\"width: 300px; height: 294px;\" />\n<pre>\n<strong>Input:</strong> rectangles = [[1,1,3,3],[3,1,4,2],[1,3,2,4],[2,2,4,4]]\n<strong>Output:</strong> false\n<strong>Explanation:</strong> Because two of the rectangles overlap with each other.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= rectangles.length &lt;= 2 * 10<sup>4</sup></code></li>\n\t<li><code>rectangles[i].length == 4</code></li>\n\t<li><code>-10<sup>5</sup> &lt;= x<sub>i</sub>, y<sub>i</sub>, a<sub>i</sub>, b<sub>i</sub> &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
            "translatedTitle": "完美矩形",
            "translatedContent": "<p>给你一个数组 <code>rectangles</code> ，其中 <code>rectangles[i] = [x<sub>i</sub>, y<sub>i</sub>, a<sub>i</sub>, b<sub>i</sub>]</code> 表示一个坐标轴平行的矩形。这个矩形的左下顶点是 <code>(x<sub>i</sub>, y<sub>i</sub>)</code> ，右上顶点是 <code>(a<sub>i</sub>, b<sub>i</sub>)</code> 。</p>\n\n<p>如果所有矩形一起精确覆盖了某个矩形区域，则返回 <code>true</code> ；否则，返回 <code>false</code> 。</p>\n&nbsp;\n\n<p><strong>示例 1：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/03/27/perectrec1-plane.jpg\" style=\"height: 294px; width: 300px;\" />\n<pre>\n<strong>输入：</strong>rectangles = [[1,1,3,3],[3,1,4,2],[3,2,4,4],[1,3,2,4],[2,3,3,4]]\n<strong>输出：</strong>true\n<strong>解释：</strong>5 个矩形一起可以精确地覆盖一个矩形区域。 \n</pre>\n\n<p><strong>示例 2：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/03/27/perfectrec2-plane.jpg\" style=\"height: 294px; width: 300px;\" />\n<pre>\n<strong>输入：</strong>rectangles = [[1,1,2,3],[1,3,2,4],[3,1,4,2],[3,2,4,4]]\n<strong>输出：</strong>false\n<strong>解释：</strong>两个矩形之间有间隔，无法覆盖成一个矩形。</pre>\n\n<p><strong>示例 3：</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/03/27/perfecrrec4-plane.jpg\" style=\"height: 294px; width: 300px;\" />\n<pre>\n<strong>输入：</strong>rectangles = [[1,1,3,3],[3,1,4,2],[1,3,2,4],[2,2,4,4]]\n<strong>输出：</strong>false\n<strong>解释：</strong>因为中间有相交区域，虽然形成了矩形，但不是精确覆盖。</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= rectangles.length &lt;= 2 * 10<sup>4</sup></code></li>\n\t<li><code>rectangles[i].length == 4</code></li>\n\t<li><code>-10<sup>5</sup> &lt;= x<sub>i</sub>, y<sub>i</sub>, a<sub>i</sub>, b<sub>i</sub> &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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