Construct the Rectangle

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:
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.

class Solution {public:    vector<int> constructRectangle(int area) {        if(area <=0)            return vector<int>{};        int w;        for(int i = 1; i * i <= area; ++i){            if( area % i == 0)                w = i;        }        return vector<int>{area/w,w};    }};