Contents.swift

/**
 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 length L, which means L >= W.
 The difference between length L and width W 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 <= 107
 */
class Solution {
    func constructRectangle(_ area: Int) -> [Int] {
        var width = Int(Double(area).squareRoot())
        while area % width != 0 {
            width -= 1
        }
        return [area / width, width]
    }
}

let s = Solution()
let r = s.constructRectangle(122122)
print(r)