or 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:
- The given area won't exceed 10,000,000 and is a positive integer
- The web page's width and length you designed must be positive integers.
public class Solution {
public int[] constructRectangle(int area) {
int[] result = new int[2];
for(int i= (int) Math.sqrt(area);i >=1;i--){
if(area%i==0){
result[0] = i;
result[1] = area/i;
break;
}
}
int temp = result[0];
if(result[0] < result[1]){
result[0] = result[1];
result[1] = temp;
}
return result;
}
}