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leetcode/problem/detonate-the-maximum-bombs.html

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+<p>You are given a list of bombs. The <strong>range</strong> of a bomb is defined as the area where its effect can be felt. This area is in the shape of a <strong>circle</strong> with the center as the location of the bomb.</p>
+
+<p>The bombs are represented by a <strong>0-indexed</strong> 2D integer array <code>bombs</code> where <code>bombs[i] = [x<sub>i</sub>, y<sub>i</sub>, r<sub>i</sub>]</code>. <code>x<sub>i</sub></code> and <code>y<sub>i</sub></code> denote the X-coordinate and Y-coordinate of the location of the <code>i<sup>th</sup></code> bomb, whereas <code>r<sub>i</sub></code> denotes the <strong>radius</strong> of its range.</p>
+
+<p>You may choose to detonate a <strong>single</strong> bomb. When a bomb is detonated, it will detonate <strong>all bombs</strong> that lie in its range. These bombs will further detonate the bombs that lie in their ranges.</p>
+
+<p>Given the list of <code>bombs</code>, return <em>the <strong>maximum</strong> number of bombs that can be detonated if you are allowed to detonate <strong>only one</strong> bomb</em>.</p>
+
+<p>&nbsp;</p>
+<p><strong>Example 1:</strong></p>
+<img alt="" src="https://assets.leetcode.com/uploads/2021/11/06/desmos-eg-3.png" style="width: 300px; height: 300px;" />
+<pre>
+<strong>Input:</strong> bombs = [[2,1,3],[6,1,4]]
+<strong>Output:</strong> 2
+<strong>Explanation:</strong>
+The above figure shows the positions and ranges of the 2 bombs.
+If we detonate the left bomb, the right bomb will not be affected.
+But if we detonate the right bomb, both bombs will be detonated.
+So the maximum bombs that can be detonated is max(1, 2) = 2.
+</pre>
+
+<p><strong>Example 2:</strong></p>
+<img alt="" src="https://assets.leetcode.com/uploads/2021/11/06/desmos-eg-2.png" style="width: 300px; height: 300px;" />
+<pre>
+<strong>Input:</strong> bombs = [[1,1,5],[10,10,5]]
+<strong>Output:</strong> 1
+<strong>Explanation:
+</strong>Detonating either bomb will not detonate the other bomb, so the maximum number of bombs that can be detonated is 1.
+</pre>
+
+<p><strong>Example 3:</strong></p>
+<img alt="" src="https://assets.leetcode.com/uploads/2021/11/07/desmos-eg1.png" style="width: 300px; height: 300px;" />
+<pre>
+<strong>Input:</strong> bombs = [[1,2,3],[2,3,1],[3,4,2],[4,5,3],[5,6,4]]
+<strong>Output:</strong> 5
+<strong>Explanation:</strong>
+The best bomb to detonate is bomb 0 because:
+- Bomb 0 detonates bombs 1 and 2. The red circle denotes the range of bomb 0.
+- Bomb 2 detonates bomb 3. The blue circle denotes the range of bomb 2.
+- Bomb 3 detonates bomb 4. The green circle denotes the range of bomb 3.
+Thus all 5 bombs are detonated.
+</pre>
+
+<p>&nbsp;</p>
+<p><strong>Constraints:</strong></p>
+
+<ul>
+	<li><code>1 &lt;= bombs.length&nbsp;&lt;= 100</code></li>
+	<li><code>bombs[i].length == 3</code></li>
+	<li><code>1 &lt;= x<sub>i</sub>, y<sub>i</sub>, r<sub>i</sub> &lt;= 10<sup>5</sup></code></li>
+</ul>