leetcode-problemset/leetcode-cn/originData/construct-the-rectangle.json

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        "question": {
            "questionId": "492",
            "questionFrontendId": "492",
            "categoryTitle": "Algorithms",
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            "title": "Construct the Rectangle",
            "titleSlug": "construct-the-rectangle",
            "content": "<p>A web developer needs to know how to design a web page&#39;s size. So, given a specific rectangular web page&rsquo;s area, your job by now is to design a rectangular web page, whose length L and width W satisfy the following requirements:</p>\n\n<ol>\n\t<li>The area of the rectangular web page you designed must equal to the given target area.</li>\n\t<li>The width <code>W</code> should not be larger than the length <code>L</code>, which means <code>L &gt;= W</code>.</li>\n\t<li>The difference between length <code>L</code> and width <code>W</code> should be as small as possible.</li>\n</ol>\n\n<p>Return <em>an array <code>[L, W]</code> where <code>L</code> and <code>W</code> are the length and width of the&nbsp;web page you designed in sequence.</em></p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> area = 4\n<strong>Output:</strong> [2,2]\n<strong>Explanation:</strong> The target area is 4, and all the possible ways to construct it are [1,4], [2,2], [4,1]. \nBut according to requirement 2, [1,4] is illegal; according to requirement 3,  [4,1] is not optimal compared to [2,2]. So the length L is 2, and the width W is 2.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> area = 37\n<strong>Output:</strong> [37,1]\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> area = 122122\n<strong>Output:</strong> [427,286]\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= area &lt;= 10<sup>7</sup></code></li>\n</ul>\n",
            "translatedTitle": "构造矩形",
            "translatedContent": "<p>作为一位web开发者， 懂得怎样去规划一个页面的尺寸是很重要的。 所以，现给定一个具体的矩形页面面积，你的任务是设计一个长度为 L 和宽度为 W 且满足以下要求的矩形的页面。要求：</p>\n\n<ol>\n\t<li>你设计的矩形页面必须等于给定的目标面积。</li>\n\t<li>宽度 <code>W</code>&nbsp;不应大于长度 <code>L</code> ，换言之，要求 <code>L &gt;= W </code>。</li>\n\t<li>长度 <code>L</code> 和宽度 <code>W</code>&nbsp;之间的差距应当尽可能小。</li>\n</ol>\n\n<p>返回一个&nbsp;<em>数组</em>&nbsp;<code>[L, W]</code>，其中 <em><code>L</code> 和 <code>W</code> 是你按照顺序设计的网页的长度和宽度</em>。<br />\n&nbsp;</p>\n\n<p><strong>示例1：</strong></p>\n\n<pre>\n<strong>输入:</strong> 4\n<strong>输出:</strong> [2, 2]\n<strong>解释:</strong> 目标面积是 4， 所有可能的构造方案有 [1,4], [2,2], [4,1]。\n但是根据要求2，[1,4] 不符合要求; 根据要求3，[2,2] 比 [4,1] 更能符合要求. 所以输出长度 L 为 2， 宽度 W 为 2。\n</pre>\n\n<p><strong>示例 2:</strong></p>\n\n<pre>\n<strong>输入:</strong> area = 37\n<strong>输出:</strong> [37,1]\n</pre>\n\n<p><strong>示例 3:</strong></p>\n\n<pre>\n<strong>输入:</strong> area = 122122\n<strong>输出:</strong> [427,286]\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= area &lt;= 10<sup>7</sup></code></li>\n</ul>\n",
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                    "lang": "C++",
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                    "code": "class Solution {\npublic:\n    vector<int> constructRectangle(int area) {\n\n    }\n};",
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                    "code": "class Solution(object):\n    def constructRectangle(self, area):\n        \"\"\"\n        :type area: int\n        :rtype: List[int]\n        \"\"\"",
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                "The W is always less than or equal to the square root of the area, so we start searching at sqrt(area) till we find the result."
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