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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 le

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class Solution {

public:

vector<int>constructRectangle(int area) {

int min =area-1;

int mini = 1;

vector<int>res;

for (int i = 1; i <=area; i++) {

if (area%i == 0 & i >= area / i) {

if (i - area / i <= min) {

min = i - area/i;

mini = i;

}

}

}

res.push_back(mini);

res.push_back(area / mini);

return res;

}

};