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{
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"questionId": "447",
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"categoryTitle": "Algorithms",
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"title": "Number of Boomerangs",
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"content": "<p>You are given <code>n</code> <code>points</code> in the plane that are all <strong>distinct</strong>, where <code>points[i] = [x<sub>i</sub>, y<sub>i</sub>]</code>. A <strong>boomerang</strong> is a tuple of points <code>(i, j, k)</code> such that the distance between <code>i</code> and <code>j</code> equals the distance between <code>i</code> and <code>k</code> <strong>(the order of the tuple matters)</strong>.</p>\n\n<p>Return <em>the number of boomerangs</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> points = [[0,0],[1,0],[2,0]]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> The two boomerangs are [[1,0],[0,0],[2,0]] and [[1,0],[2,0],[0,0]].\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> points = [[1,1],[2,2],[3,3]]\n<strong>Output:</strong> 2\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> points = [[1,1]]\n<strong>Output:</strong> 0\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == points.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 500</code></li>\n\t<li><code>points[i].length == 2</code></li>\n\t<li><code>-10<sup>4</sup> &lt;= x<sub>i</sub>, y<sub>i</sub> &lt;= 10<sup>4</sup></code></li>\n\t<li>All the points are <strong>unique</strong>.</li>\n</ul>\n",
"translatedTitle": "回旋镖的数量",
"translatedContent": "<p>给定平面上<em>&nbsp;</em><code>n</code><em> </em>对 <strong>互不相同</strong> 的点&nbsp;<code>points</code> ,其中 <code>points[i] = [x<sub>i</sub>, y<sub>i</sub>]</code> 。<strong>回旋镖</strong> 是由点&nbsp;<code>(i, j, k)</code> 表示的元组 ,其中&nbsp;<code>i</code>&nbsp;和&nbsp;<code>j</code>&nbsp;之间的距离和&nbsp;<code>i</code>&nbsp;和&nbsp;<code>k</code>&nbsp;之间的欧式距离相等(<strong>需要考虑元组的顺序</strong>)。</p>\n\n<p>返回平面上所有回旋镖的数量。</p>\n&nbsp;\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>points = [[0,0],[1,0],[2,0]]\n<strong>输出:</strong>2\n<strong>解释:</strong>两个回旋镖为 <strong>[[1,0],[0,0],[2,0]]</strong> 和 <strong>[[1,0],[2,0],[0,0]]</strong>\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>points = [[1,1],[2,2],[3,3]]\n<strong>输出:</strong>2\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>points = [[1,1]]\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>n ==&nbsp;points.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 500</code></li>\n\t<li><code>points[i].length == 2</code></li>\n\t<li><code>-10<sup>4</sup> &lt;= x<sub>i</sub>, y<sub>i</sub> &lt;= 10<sup>4</sup></code></li>\n\t<li>所有点都 <strong>互不相同</strong></li>\n</ul>\n",
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