leetcode-problemset/leetcode-cn/originData/min-cost-to-connect-all-points.json

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            "title": "Min Cost to Connect All Points",
            "titleSlug": "min-cost-to-connect-all-points",
            "content": "<p>You are given an array <code>points</code> representing integer coordinates of some points on a 2D-plane, where <code>points[i] = [x<sub>i</sub>, y<sub>i</sub>]</code>.</p>\n\n<p>The cost of connecting two points <code>[x<sub>i</sub>, y<sub>i</sub>]</code> and <code>[x<sub>j</sub>, y<sub>j</sub>]</code> is the <strong>manhattan distance</strong> between them: <code>|x<sub>i</sub> - x<sub>j</sub>| + |y<sub>i</sub> - y<sub>j</sub>|</code>, where <code>|val|</code> denotes the absolute value of <code>val</code>.</p>\n\n<p>Return <em>the minimum cost to make all points connected.</em> All points are connected if there is <strong>exactly one</strong> simple path between any two points.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/08/26/d.png\" style=\"width: 214px; height: 268px;\" />\n<pre>\n<strong>Input:</strong> points = [[0,0],[2,2],[3,10],[5,2],[7,0]]\n<strong>Output:</strong> 20\n<strong>Explanation:</strong> \n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/08/26/c.png\" style=\"width: 214px; height: 268px;\" />\nWe can connect the points as shown above to get the minimum cost of 20.\nNotice that there is a unique path between every pair of points.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> points = [[3,12],[-2,5],[-4,1]]\n<strong>Output:</strong> 18\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;= 1000</code></li>\n\t<li><code>-10<sup>6</sup> &lt;= x<sub>i</sub>, y<sub>i</sub> &lt;= 10<sup>6</sup></code></li>\n\t<li>All pairs <code>(x<sub>i</sub>, y<sub>i</sub>)</code> are distinct.</li>\n</ul>\n",
            "translatedTitle": "连接所有点的最小费用",
            "translatedContent": "<p>给你一个<code>points</code>&nbsp;数组，表示 2D 平面上的一些点，其中&nbsp;<code>points[i] = [x<sub>i</sub>, y<sub>i</sub>]</code>&nbsp;。</p>\n\n<p>连接点&nbsp;<code>[x<sub>i</sub>, y<sub>i</sub>]</code> 和点&nbsp;<code>[x<sub>j</sub>, y<sub>j</sub>]</code>&nbsp;的费用为它们之间的 <strong>曼哈顿距离</strong>&nbsp;：<code>|x<sub>i</sub> - x<sub>j</sub>| + |y<sub>i</sub> - y<sub>j</sub>|</code>&nbsp;，其中&nbsp;<code>|val|</code>&nbsp;表示&nbsp;<code>val</code>&nbsp;的绝对值。</p>\n\n<p>请你返回将所有点连接的最小总费用。只有任意两点之间 <strong>有且仅有</strong>&nbsp;一条简单路径时，才认为所有点都已连接。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/08/26/d.png\" style=\"height:268px; width:214px; background:#e5e5e5\" /></p>\n\n<pre>\n<strong>输入：</strong>points = [[0,0],[2,2],[3,10],[5,2],[7,0]]\n<strong>输出：</strong>20\n<strong>解释：\n</strong><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/08/26/c.png\" style=\"height:268px; width:214px; background:#e5e5e5\" />\n我们可以按照上图所示连接所有点得到最小总费用，总费用为 20 。\n注意到任意两个点之间只有唯一一条路径互相到达。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>points = [[3,12],[-2,5],[-4,1]]\n<strong>输出：</strong>18\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>points = [[0,0],[1,1],[1,0],[-1,1]]\n<strong>输出：</strong>4\n</pre>\n\n<p><strong>示例 4：</strong></p>\n\n<pre>\n<strong>输入：</strong>points = [[-1000000,-1000000],[1000000,1000000]]\n<strong>输出：</strong>4000000\n</pre>\n\n<p><strong>示例 5：</strong></p>\n\n<pre>\n<strong>输入：</strong>points = [[0,0]]\n<strong>输出：</strong>0\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= points.length &lt;= 1000</code></li>\n\t<li><code>-10<sup>6</sup>&nbsp;&lt;= x<sub>i</sub>, y<sub>i</sub> &lt;= 10<sup>6</sup></code></li>\n\t<li>所有点&nbsp;<code>(x<sub>i</sub>, y<sub>i</sub>)</code>&nbsp;两两不同。</li>\n</ul>\n",
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