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492. Construct the Rectangle
Description
A web developer needs 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:
 The area of the rectangular web page you designed must equal to the given target area.
 The width
W
should not be larger than the lengthL
, which meansL >= W
.  The difference between length
L
and widthW
should be as small as possible.
Return an array [L, W]
where L
and W
are the length and width of the web page you designed in sequence.
Example 1:
Input: area = 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.
Example 2:
Input: area = 37 Output: [37,1]
Example 3:
Input: area = 122122 Output: [427,286]
Constraints:
1 <= area <= 10^{7}
Solutions

class Solution { public int[] constructRectangle(int area) { int w = (int) Math.sqrt(area); while (area % w != 0) { w; } return new int[] {area / w, w}; } }

class Solution { public: vector<int> constructRectangle(int area) { int w = sqrt(1.0 * area); while (area % w != 0) w; return {area / w, w}; } };

class Solution: def constructRectangle(self, area: int) > List[int]: w = int(sqrt(area)) while area % w != 0: w = 1 return [area // w, w]

func constructRectangle(area int) []int { w := int(math.Sqrt(float64(area))) for area%w != 0 { w } return []int{area / w, w} }