mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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202 lines
18 KiB
JSON
202 lines
18 KiB
JSON
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"title": "K Closest Points to Origin",
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"content": "<p>Given an array of <code>points</code> where <code>points[i] = [x<sub>i</sub>, y<sub>i</sub>]</code> represents a point on the <strong>X-Y</strong> plane and an integer <code>k</code>, return the <code>k</code> closest points to the origin <code>(0, 0)</code>.</p>\n\n<p>The distance between two points on the <strong>X-Y</strong> plane is the Euclidean distance (i.e., <code>√(x<sub>1</sub> - x<sub>2</sub>)<sup>2</sup> + (y<sub>1</sub> - y<sub>2</sub>)<sup>2</sup></code>).</p>\n\n<p>You may return the answer in <strong>any order</strong>. The answer is <strong>guaranteed</strong> to be <strong>unique</strong> (except for the order that it is in).</p>\n\n<p> </p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2021/03/03/closestplane1.jpg\" style=\"width: 400px; height: 400px;\" />\n<pre>\n<strong>Input:</strong> points = [[1,3],[-2,2]], k = 1\n<strong>Output:</strong> [[-2,2]]\n<strong>Explanation:</strong>\nThe distance between (1, 3) and the origin is sqrt(10).\nThe distance between (-2, 2) and the origin is sqrt(8).\nSince sqrt(8) < sqrt(10), (-2, 2) is closer to the origin.\nWe only want the closest k = 1 points from the origin, so the answer is just [[-2,2]].\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> points = [[3,3],[5,-1],[-2,4]], k = 2\n<strong>Output:</strong> [[3,3],[-2,4]]\n<strong>Explanation:</strong> The answer [[-2,4],[3,3]] would also be accepted.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= k <= points.length <= 10<sup>4</sup></code></li>\n\t<li><code>-10<sup>4</sup> < x<sub>i</sub>, y<sub>i</sub> < 10<sup>4</sup></code></li>\n</ul>\n",
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