mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
synced 2025-01-10 18:48:13 +08:00
42 lines
2.0 KiB
HTML
42 lines
2.0 KiB
HTML
<p>Given a 2D integer array <code>circles</code> where <code>circles[i] = [x<sub>i</sub>, y<sub>i</sub>, r<sub>i</sub>]</code> represents the center <code>(x<sub>i</sub>, y<sub>i</sub>)</code> and radius <code>r<sub>i</sub></code> of the <code>i<sup>th</sup></code> circle drawn on a grid, return <em>the <strong>number of lattice points</strong> </em><em>that are present inside <strong>at least one</strong> circle</em>.</p>
|
|
|
|
<p><strong>Note:</strong></p>
|
|
|
|
<ul>
|
|
<li>A <strong>lattice point</strong> is a point with integer coordinates.</li>
|
|
<li>Points that lie <strong>on the circumference of a circle</strong> are also considered to be inside it.</li>
|
|
</ul>
|
|
|
|
<p> </p>
|
|
<p><strong class="example">Example 1:</strong></p>
|
|
<img alt="" src="https://assets.leetcode.com/uploads/2022/03/02/exa-11.png" style="width: 300px; height: 300px;" />
|
|
<pre>
|
|
<strong>Input:</strong> circles = [[2,2,1]]
|
|
<strong>Output:</strong> 5
|
|
<strong>Explanation:</strong>
|
|
The figure above shows the given circle.
|
|
The lattice points present inside the circle are (1, 2), (2, 1), (2, 2), (2, 3), and (3, 2) and are shown in green.
|
|
Other points such as (1, 1) and (1, 3), which are shown in red, are not considered inside the circle.
|
|
Hence, the number of lattice points present inside at least one circle is 5.</pre>
|
|
|
|
<p><strong class="example">Example 2:</strong></p>
|
|
<img alt="" src="https://assets.leetcode.com/uploads/2022/03/02/exa-22.png" style="width: 300px; height: 300px;" />
|
|
<pre>
|
|
<strong>Input:</strong> circles = [[2,2,2],[3,4,1]]
|
|
<strong>Output:</strong> 16
|
|
<strong>Explanation:</strong>
|
|
The figure above shows the given circles.
|
|
There are exactly 16 lattice points which are present inside at least one circle.
|
|
Some of them are (0, 2), (2, 0), (2, 4), (3, 2), and (4, 4).
|
|
</pre>
|
|
|
|
<p> </p>
|
|
<p><strong>Constraints:</strong></p>
|
|
|
|
<ul>
|
|
<li><code>1 <= circles.length <= 200</code></li>
|
|
<li><code>circles[i].length == 3</code></li>
|
|
<li><code>1 <= x<sub>i</sub>, y<sub>i</sub> <= 100</code></li>
|
|
<li><code>1 <= r<sub>i</sub> <= min(x<sub>i</sub>, y<sub>i</sub>)</code></li>
|
|
</ul>
|