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"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> </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> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= points.length <= 1000</code></li>\n\t<li><code>-10<sup>6</sup> <= x<sub>i</sub>, y<sub>i</sub> <= 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",
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"The problem is now the cost of minimum spanning tree in graph with above edges."
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