text: # Time:  O(1)
  # Space: O(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.
  
  import math
  
  
  class Solution(object):
      def constructRectangle(self, area):
          """
          :type area: int
          :rtype: List[int]
          """
          w = int(math.sqrt(area))
          while area % w:
              w -= 1
          return [area // w, w]
  