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.
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.
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.
class Solution(object):
def constructRectangle(self, area):
“””
:type area: int
:rtype: List[int]
“””
out = []
a = math.sqrt( area)
b = int(a)
for x in range(b,0,-1):
h = area//x
print(h)
if x * (h) == area:
out.append(h)
out.append(x)
break
return outtion(object):
def constructRectangle(self, area):
"""
:type area: int
:rtype: List[int]
"""
mid = int(math.sqrt(area))
while mid > 0:
if area % mid == 0:
return [(area // mid), int(mid)]
mid -= 1