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.You need to output the length L and the width W of the web page you designed in sequence.
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.
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.
class Solution {
public:
vector<int> constructRectangle(int area) {
vector<int> vec;
int w = (int)sqrt(area);
while (area % w != 0 ) {
w--;
}
vec.push_back(area/w);
vec.push_back(w);
return vec;
}
};