Construct the Rectangle

Posted 2020-08-30 amazingzoe

For a web developer, it is very important 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:

1. The area of the rectangular web page you designed must equal to the given target area.

2. The width W should not be larger than the length L, which means L >= W.

3. The difference between length L and width W should be as small as possible.

You need to output the length L and the width W of the web page you designed in sequence.

 

Example:

Input: 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.

 

Note:

1. The given area won‘t exceed 10,000,000 and is a positive integer
2. The web page‘s width and length you designed must be positive integers.

 

 1 public class Solution {
 2     public int[] constructRectangle(int area) {
 3         int[] result = new int[2];
 4         if (area == 0) return result;
 5         
 6         int length = (int) (Math.sqrt(area)) + 1;
 7         while (area % length != 0) length--;
 8         length = Math.max(length, area / length);
 9         
10         int width = area / length;
11         result[0] = length;
12         result[1] = width;
13         
14         return result;
15     }
16 }