leetcode-problemset/leetcode-cn/originData/number-of-rectangles-that-can-form-the-largest-square.json

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            "questionId": "1843",
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            "categoryTitle": "Algorithms",
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            "title": "Number Of Rectangles That Can Form The Largest Square",
            "titleSlug": "number-of-rectangles-that-can-form-the-largest-square",
            "content": "<p>You are given an array <code>rectangles</code> where <code>rectangles[i] = [l<sub>i</sub>, w<sub>i</sub>]</code> represents the <code>i<sup>th</sup></code> rectangle of length <code>l<sub>i</sub></code> and width <code>w<sub>i</sub></code>.</p>\r\n\r\n<p>You can cut the <code>i<sup>th</sup></code> rectangle to form a square with a side length of <code>k</code> if both <code>k &lt;= l<sub>i</sub></code> and <code>k &lt;= w<sub>i</sub></code>. For example, if you have a rectangle <code>[4,6]</code>, you can cut it to get a square with a side length of at most <code>4</code>.</p>\r\n\r\n<p>Let <code>maxLen</code> be the side length of the <strong>largest</strong> square you can obtain from any of the given rectangles.</p>\r\n\r\n<p>Return <em>the <strong>number</strong> of rectangles that can make a square with a side length of </em><code>maxLen</code>.</p>\r\n\r\n<p>&nbsp;</p>\r\n<p><strong class=\"example\">Example 1:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> rectangles = [[5,8],[3,9],[5,12],[16,5]]\r\n<strong>Output:</strong> 3\r\n<strong>Explanation:</strong> The largest squares you can get from each rectangle are of lengths [5,3,5,5].\r\nThe largest possible square is of length 5, and you can get it out of 3 rectangles.\r\n</pre>\r\n\r\n<p><strong class=\"example\">Example 2:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> rectangles = [[2,3],[3,7],[4,3],[3,7]]\r\n<strong>Output:</strong> 3\r\n</pre>\r\n\r\n<p>&nbsp;</p>\r\n<p><strong>Constraints:</strong></p>\r\n\r\n<ul>\r\n\t<li><code>1 &lt;= rectangles.length &lt;= 1000</code></li>\r\n\t<li><code>rectangles[i].length == 2</code></li>\r\n\t<li><code>1 &lt;= l<sub>i</sub>, w<sub>i</sub> &lt;= 10<sup>9</sup></code></li>\r\n\t<li><code>l<sub>i</sub> != w<sub>i</sub></code></li>\r\n</ul>",
            "translatedTitle": "可以形成最大正方形的矩形数目",
            "translatedContent": "<p>给你一个数组 <code>rectangles</code> ，其中 <code>rectangles[i] = [l<sub>i</sub>, w<sub>i</sub>]</code> 表示第 <code>i</code> 个矩形的长度为 <code>l<sub>i</sub></code> 、宽度为 <code>w<sub>i</sub></code> 。</p>\n\n<p>如果存在 <code>k</code> 同时满足 <code>k <= l<sub>i</sub></code> 和 <code>k <= w<sub>i</sub></code> ，就可以将第 <code>i</code> 个矩形切成边长为 <code>k</code> 的正方形。例如，矩形 <code>[4,6]</code> 可以切成边长最大为 <code>4</code> 的正方形。</p>\n\n<p>设 <code>maxLen</code> 为可以从矩形数组 <code>rectangles</code> 切分得到的 <strong>最大正方形</strong> 的边长。</p>\n\n<p>请你统计有多少个矩形能够切出边长为<em> </em><code>maxLen</code> 的正方形，并返回矩形 <strong>数目</strong> 。</p>\n\n<p> </p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>rectangles = [[5,8],[3,9],[5,12],[16,5]]\n<strong>输出：</strong>3\n<strong>解释：</strong>能从每个矩形中切出的最大正方形边长分别是 [5,3,5,5] 。\n最大正方形的边长为 5 ，可以由 3 个矩形切分得到。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>rectangles = [[2,3],[3,7],[4,3],[3,7]]\n<strong>输出：</strong>3\n</pre>\n\n<p> </p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 <= rectangles.length <= 1000</code></li>\n\t<li><code>rectangles[i].length == 2</code></li>\n\t<li><code>1 <= l<sub>i</sub>, w<sub>i</sub> <= 10<sup>9</sup></code></li>\n\t<li><code>l<sub>i</sub> != w<sub>i</sub></code></li>\n</ul>\n",
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                "What is the length of the largest square the can be cut out of some rectangle? It'll be equal to min(rectangle.length, rectangle.width). Replace each rectangle with this value.",
                "Calculate maxSize by iterating over the given rectangles and maximizing the answer with their values denoted in the first hint.",
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