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+<h2>447. Number of Boomerangs</h2><h3>Medium</h3><hr><div><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>
+
+<p>Return <em>the number of boomerangs</em>.</p>
+
+<p>&nbsp;</p>
+<p><strong>Example 1:</strong></p>
+
+<pre><strong>Input:</strong> points = [[0,0],[1,0],[2,0]]
+<strong>Output:</strong> 2
+<strong>Explanation:</strong> The two boomerangs are [[1,0],[0,0],[2,0]] and [[1,0],[2,0],[0,0]].
+</pre>
+
+<p><strong>Example 2:</strong></p>
+
+<pre><strong>Input:</strong> points = [[1,1],[2,2],[3,3]]
+<strong>Output:</strong> 2
+</pre>
+
+<p><strong>Example 3:</strong></p>
+
+<pre><strong>Input:</strong> points = [[1,1]]
+<strong>Output:</strong> 0
+</pre>
+
+<p>&nbsp;</p>
+<p><strong>Constraints:</strong></p>
+
+<ul>
+	<li><code>n == points.length</code></li>
+	<li><code>1 &lt;= n &lt;= 500</code></li>
+	<li><code>points[i].length == 2</code></li>
+	<li><code>-10<sup>4</sup> &lt;= x<sub>i</sub>, y<sub>i</sub> &lt;= 10<sup>4</sup></code></li>
+	<li>All the points are <strong>unique</strong>.</li>
+</ul>
+</div>