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.
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.
- 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.
记area的平方根为sqrt 从int(sqrt) 向 1 递减枚举宽度W，若area % W == 0，则L = area / W
class Solution(object): def constructRectangle(self, area): """ :type area: int :rtype: List[int] """ sqrt = int(math.sqrt(area)) L, W = area, 1 for x in range(sqrt, 0, -1): if area % x == 0: L, W = area / x, x break return [L, W]