text: #
  # @lc app=leetcode id=492 lang=python3
  #
  # [492] Construct the Rectangle
  #
  # https://leetcode.com/problems/construct-the-rectangle/description/
  #
  # algorithms
  # Easy (48.95%)
  # Likes:    158
  # Dislikes: 234
  # Total Accepted:    50.7K
  # Total Submissions: 103.3K
  # Testcase Example:  '1'
  #
  # 
  # 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.
  # 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.
  # 
  # You need to output the length L and the width W of the web page you designed
  # in sequence.
  # 
  # 
  # 
  # 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.
  # 
  # 
  # 
  # Note:
  # 
  # The given area won't exceed 10,000,000 and is a positive integer
  # The web page's width and length you designed must be positive integers.
  # 
  # 
  #
  
  # @lc code=start
  class Solution:
      def constructRectangle(self, area: int) -> List[int]:
          w = int(area**0.5)
          while area%w:
              w-=1
          return [area//w, w]
  # @lc code=end
  
  