leetcode-problemset/leetcode-cn/originData/minimum-area-rectangle-ii.json

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            "title": "Minimum Area Rectangle II",
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            "content": "<p>You are given an array of points in the <strong>X-Y</strong> plane <code>points</code> where <code>points[i] = [x<sub>i</sub>, y<sub>i</sub>]</code>.</p>\n\n<p>Return <em>the minimum area of any rectangle formed from these points, with sides <strong>not necessarily parallel</strong> to the X and Y axes</em>. If there is not any such rectangle, return <code>0</code>.</p>\n\n<p>Answers within <code>10<sup>-5</sup></code> of the actual answer will be accepted.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2018/12/21/1a.png\" style=\"width: 398px; height: 400px;\" />\n<pre>\n<strong>Input:</strong> points = [[1,2],[2,1],[1,0],[0,1]]\n<strong>Output:</strong> 2.00000\n<strong>Explanation:</strong> The minimum area rectangle occurs at [1,2],[2,1],[1,0],[0,1], with an area of 2.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2018/12/22/2.png\" style=\"width: 400px; height: 251px;\" />\n<pre>\n<strong>Input:</strong> points = [[0,1],[2,1],[1,1],[1,0],[2,0]]\n<strong>Output:</strong> 1.00000\n<strong>Explanation:</strong> The minimum area rectangle occurs at [1,0],[1,1],[2,1],[2,0], with an area of 1.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2018/12/22/3.png\" style=\"width: 383px; height: 400px;\" />\n<pre>\n<strong>Input:</strong> points = [[0,3],[1,2],[3,1],[1,3],[2,1]]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> There is no possible rectangle to form from these points.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= points.length &lt;= 50</code></li>\n\t<li><code>points[i].length == 2</code></li>\n\t<li><code>0 &lt;= x<sub>i</sub>, y<sub>i</sub> &lt;= 4 * 10<sup>4</sup></code></li>\n\t<li>All the given points are <strong>unique</strong>.</li>\n</ul>\n",
            "translatedTitle": "最小面积矩形 II",
            "translatedContent": "<p>给定在 xy 平面上的一组点，确定由这些点组成的任何矩形的最小面积，其中矩形的边<strong>不一定平行于</strong> x 轴和 y 轴。</p>\n\n<p>如果没有任何矩形，就返回 0。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2018/12/22/1a.png\" style=\"height: 151px; width: 150px;\"></strong></p>\n\n<pre><strong>输入：</strong>[[1,2],[2,1],[1,0],[0,1]]\n<strong>输出：</strong>2.00000\n<strong>解释：</strong>最小面积的矩形出现在 [1,2],[2,1],[1,0],[0,1] 处，面积为 2。</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2018/12/23/2.png\" style=\"height: 94px; width: 150px;\"></p>\n\n<pre><strong>输入：</strong>[[0,1],[2,1],[1,1],[1,0],[2,0]]\n<strong>输出：</strong>1.00000\n<strong>解释：</strong>最小面积的矩形出现在 [1,0],[1,1],[2,1],[2,0] 处，面积为 1。\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2018/12/23/3.png\" style=\"height: 94px; width: 150px;\"></p>\n\n<pre><strong>输入：</strong>[[0,3],[1,2],[3,1],[1,3],[2,1]]\n<strong>输出：</strong>0\n<strong>解释：</strong>没法从这些点中组成任何矩形。\n</pre>\n\n<p><strong>示例 4：</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2018/12/21/4c.png\" style=\"height: 155px; width: 160px;\"></strong></p>\n\n<pre><strong>输入：</strong>[[3,1],[1,1],[0,1],[2,1],[3,3],[3,2],[0,2],[2,3]]\n<strong>输出：</strong>2.00000\n<strong>解释：</strong>最小面积的矩形出现在 [2,1],[2,3],[3,3],[3,1] 处，面积为 2。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ol>\n\t<li><code>1 &lt;= points.length &lt;= 50</code></li>\n\t<li><code>0 &lt;=&nbsp;points[i][0] &lt;=&nbsp;40000</code></li>\n\t<li><code>0 &lt;=&nbsp;points[i][1] &lt;=&nbsp;40000</code></li>\n\t<li>所有的点都是不同的。</li>\n\t<li>与真实值误差不超过 <code>10^-5</code>&nbsp;的答案将视为正确结果。</li>\n</ol>\n",
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