{ "data": { "question": { "questionId": "492", "questionFrontendId": "492", "categoryTitle": "Algorithms", "boundTopicId": 1358, "title": "Construct the Rectangle", "titleSlug": "construct-the-rectangle", "content": "

A web developer needs to know how to design a web page's size. So, given a specific rectangular web page’s area, your job by now is to design a rectangular web page, whose length L and width W satisfy the following requirements:

\n\n
    \n\t
  1. The area of the rectangular web page you designed must equal to the given target area.
    2. \n\t
  2. The width W should not be larger than the length L, which means L >= W.
    3. \n\t
  3. The difference between length L and width W should be as small as possible.
    4. \n
\n\n

Return an array [L, W] where L and W are the length and width of the web page you designed in sequence.

\n\n

 

\n

Example 1:

\n\n
\nInput: area = 4\nOutput: [2,2]\nExplanation: 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
\n\n

Example 2:

\n\n
\nInput: area = 37\nOutput: [37,1]\n
\n\n

Example 3:

\n\n
\nInput: area = 122122\nOutput: [427,286]\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "构造矩形", "translatedContent": "

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：

\n\n
    \n\t
  1. 你设计的矩形页面必须等于给定的目标面积。
    2. \n\t
  2. 宽度 W 不应大于长度 L ，换言之，要求 L >= W 。
    3. \n\t
  3. 长度 L 和宽度 W 之间的差距应当尽可能小。
    4. \n
\n\n

返回一个 数组 [L, W]，其中 L 和 W 是你按照顺序设计的网页的长度和宽度。
\n 

\n\n

示例1：

\n\n
\n输入: 4\n输出: [2, 2]\n解释: 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
\n\n

示例 2:

\n\n
\n输入: area = 37\n输出: [37,1]\n
\n\n

示例 3:

\n\n
\n输入: area = 122122\n输出: [427,286]\n
\n\n

 

\n\n

提示:

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