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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
Wshould not be larger than the length
L, which means
L >= W.
- The difference between length
Wshould be as small as possible.
Return an array
[L, W] where
W are the length and width of the web page you designed in sequence.
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.
Input: area = 37 Output: [37,1]
Input: area = 122122 Output: [427,286]
1 <= area <= 107