leetcode-problemset/leetcode-cn/originData/count-lattice-points-inside-a-circle.json

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            "title": "Count Lattice Points Inside a Circle",
            "titleSlug": "count-lattice-points-inside-a-circle",
            "content": "<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>\n\n<p><strong>Note:</strong></p>\n\n<ul>\n\t<li>A <strong>lattice point</strong> is a point with integer coordinates.</li>\n\t<li>Points that lie <strong>on the circumference of a circle</strong> are also considered to be inside it.</li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/02/exa-11.png\" style=\"width: 300px; height: 300px;\" />\n<pre>\n<strong>Input:</strong> circles = [[2,2,1]]\n<strong>Output:</strong> 5\n<strong>Explanation:</strong>\nThe figure above shows the given circle.\nThe lattice points present inside the circle are (1, 2), (2, 1), (2, 2), (2, 3), and (3, 2) and are shown in green.\nOther points such as (1, 1) and (1, 3), which are shown in red, are not considered inside the circle.\nHence, the number of lattice points present inside at least one circle is 5.</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/02/exa-22.png\" style=\"width: 300px; height: 300px;\" />\n<pre>\n<strong>Input:</strong> circles = [[2,2,2],[3,4,1]]\n<strong>Output:</strong> 16\n<strong>Explanation:</strong>\nThe figure above shows the given circles.\nThere are exactly 16 lattice points which are present inside at least one circle. \nSome of them are (0, 2), (2, 0), (2, 4), (3, 2), and (4, 4).\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= circles.length &lt;= 200</code></li>\n\t<li><code>circles[i].length == 3</code></li>\n\t<li><code>1 &lt;= x<sub>i</sub>, y<sub>i</sub> &lt;= 100</code></li>\n\t<li><code>1 &lt;= r<sub>i</sub> &lt;= min(x<sub>i</sub>, y<sub>i</sub>)</code></li>\n</ul>\n",
            "translatedTitle": "统计圆内格点数目",
            "translatedContent": "<p>给你一个二维整数数组 <code>circles</code> ，其中 <code>circles[i] = [x<sub>i</sub>, y<sub>i</sub>, r<sub>i</sub>]</code> 表示网格上圆心为 <code>(x<sub>i</sub>, y<sub>i</sub>)</code> 且半径为 <code>r<sub>i</sub></code> 的第 <code>i</code> 个圆，返回出现在<strong> 至少一个 </strong>圆内的 <strong>格点数目</strong> 。</p>\n\n<p><strong>注意：</strong></p>\n\n<ul>\n\t<li><strong>格点</strong> 是指整数坐标对应的点。</li>\n\t<li><strong>圆周上的点</strong> 也被视为出现在圆内的点。</li>\n</ul>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/02/exa-11.png\" style=\"width: 300px; height: 300px;\" /></p>\n\n<pre>\n<strong>输入：</strong>circles = [[2,2,1]]\n<strong>输出：</strong>5\n<strong>解释：</strong>\n给定的圆如上图所示。\n出现在圆内的格点为 (1, 2)、(2, 1)、(2, 2)、(2, 3) 和 (3, 2)，在图中用绿色标识。\n像 (1, 1) 和 (1, 3) 这样用红色标识的点，并未出现在圆内。\n因此，出现在至少一个圆内的格点数目是 5 。</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2022/03/02/exa-22.png\" style=\"width: 300px; height: 300px;\" /></p>\n\n<pre>\n<strong>输入：</strong>circles = [[2,2,2],[3,4,1]]\n<strong>输出：</strong>16\n<strong>解释：</strong>\n给定的圆如上图所示。\n共有 16 个格点出现在至少一个圆内。\n其中部分点的坐标是 (0, 2)、(2, 0)、(2, 4)、(3, 2) 和 (4, 4) 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= circles.length &lt;= 200</code></li>\n\t<li><code>circles[i].length == 3</code></li>\n\t<li><code>1 &lt;= x<sub>i</sub>, y<sub>i</sub> &lt;= 100</code></li>\n\t<li><code>1 &lt;= r<sub>i</sub> &lt;= min(x<sub>i</sub>, y<sub>i</sub>)</code></li>\n</ul>\n",
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