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Construct the Rectangle

A web developer needs to know how to design a web page's size.

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:

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

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