leetcode-problemset/leetcode-cn/originData/maximum-points-inside-the-square.json

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        "question": {
            "questionId": "3419",
            "questionFrontendId": "3143",
            "categoryTitle": "Algorithms",
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            "title": "Maximum Points Inside the Square",
            "titleSlug": "maximum-points-inside-the-square",
            "content": "<p>You are given a 2D<strong> </strong>array <code>points</code> and a string <code>s</code> where, <code>points[i]</code> represents the coordinates of point <code>i</code>, and <code>s[i]</code> represents the <strong>tag</strong> of point <code>i</code>.</p>\n\n<p>A <strong>valid</strong> square is a square centered at the origin <code>(0, 0)</code>, has edges parallel to the axes, and <strong>does not</strong> contain two points with the same tag.</p>\n\n<p>Return the <strong>maximum</strong> number of points contained in a <strong>valid</strong> square.</p>\n\n<p>Note:</p>\n\n<ul>\n\t<li>A point is considered to be inside the square if it lies on or within the square&#39;s boundaries.</li>\n\t<li>The side length of the square can be zero.</li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/03/29/3708-tc1.png\" style=\"width: 303px; height: 303px;\" /></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">points = [[2,2],[-1,-2],[-4,4],[-3,1],[3,-3]], s = &quot;abdca&quot;</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">2</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The square of side length 4 covers two points <code>points[0]</code> and <code>points[1]</code>.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/03/29/3708-tc2.png\" style=\"width: 302px; height: 302px;\" /></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">points = [[1,1],[-2,-2],[-2,2]], s = &quot;abb&quot;</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">1</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The square of side length 2 covers one point, which is <code>points[0]</code>.</p>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">points = [[1,1],[-1,-1],[2,-2]], s = &quot;ccd&quot;</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">0</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>It&#39;s impossible to make any valid squares centered at the origin such that it covers only one point among <code>points[0]</code> and <code>points[1]</code>.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= s.length, points.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>points[i].length == 2</code></li>\n\t<li><code>-10<sup>9</sup> &lt;= points[i][0], points[i][1] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>s.length == points.length</code></li>\n\t<li><code>points</code> consists of distinct coordinates.</li>\n\t<li><code>s</code> consists only of lowercase English letters.</li>\n</ul>\n",
            "translatedTitle": "正方形中的最多点数",
            "translatedContent": "<p>给你一个二维数组&nbsp;<code>points</code>&nbsp;和一个字符串&nbsp;<code>s</code>&nbsp;，其中&nbsp;<code>points[i]</code>&nbsp;表示第 <code>i</code>&nbsp;个点的坐标，<code>s[i]</code>&nbsp;表示第 <code>i</code>&nbsp;个点的 <strong>标签</strong>&nbsp;。</p>\n\n<p>如果一个正方形的中心在&nbsp;<code>(0, 0)</code>&nbsp;，所有边都平行于坐标轴，且正方形内&nbsp;<strong>不</strong>&nbsp;存在标签相同的两个点，那么我们称这个正方形是&nbsp;<strong>合法</strong>&nbsp;的。</p>\n\n<p>请你返回 <strong>合法</strong>&nbsp;正方形中可以包含的 <strong>最多</strong>&nbsp;点数。</p>\n\n<p><strong>注意：</strong></p>\n\n<ul>\n\t<li>如果一个点位于正方形的边上或者在边以内，则认为该点位于正方形内。</li>\n\t<li>正方形的边长可以为零。</li>\n</ul>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/03/29/3708-tc1.png\" style=\"width: 303px; height: 303px;\" /></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>points = [[2,2],[-1,-2],[-4,4],[-3,1],[3,-3]], s = \"abdca\"</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>2</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>边长为 4 的正方形包含两个点&nbsp;<code>points[0]</code> 和&nbsp;<code>points[1]</code>&nbsp;。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode.com/uploads/2024/03/29/3708-tc2.png\" style=\"width: 302px; height: 302px;\" /></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>points = [[1,1],[-2,-2],[-2,2]], s = \"abb\"</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>1</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>边长为 2 的正方形包含 1 个点&nbsp;<code>points[0]</code>&nbsp;。</p>\n</div>\n\n<p><strong class=\"example\">示例 3：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>points = [[1,1],[-1,-1],[2,-2]], s = \"ccd\"</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>0</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>任何正方形都无法只包含&nbsp;<code>points[0]</code> 和&nbsp;<code>points[1]</code>&nbsp;中的一个点，所以合法正方形中都不包含任何点。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= s.length, points.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>points[i].length == 2</code></li>\n\t<li><code>-10<sup>9</sup> &lt;= points[i][0], points[i][1] &lt;= 10<sup>9</sup></code></li>\n\t<li><code>s.length == points.length</code></li>\n\t<li><code>points</code>&nbsp;中的点坐标互不相同。</li>\n\t<li><code>s</code>&nbsp;只包含小写英文字母。</li>\n</ul>\n",
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