letcode_492.py

# 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.

import math
area = 1000000
output = []
resp = []
g = int(math.sqrt(area))

for i in range(1,g+1):
    for o in range(g,area + 1):
        if o * i == area and o%i == 0:
            output.append([o,i])


print(output)