construct-the-rectangle


Submit solution

Points: 1
Time limit: 30.0s
Memory limit: 250M

Problem type
Allowed languages
Python

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:

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

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

  Example 1:

Input: area = 4 Output: [2,2] Explanation: The target area is 4, and all the possible ways to construct it are [1,4], [2,2], [4,1]. But 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.

Example 2:

Input: area = 37 Output: [37,1]

Example 3:

Input: area = 122122 Output: [427,286]

  Constraints:

1 <= area <= 10⁷

Comments

There are no comments at the moment.