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:
- 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.
class Solution:
def constructRectangle(self, area: int) -> List[int]:
sr = int(math.sqrt(area))
l = w = sr
while l <= area and w >= 1:
s = l * w
if s == area:
break
if s > area:
w -= 1
else:
l += 1
return [l, w]class Solution {
public int[] constructRectangle(int area) {
int sr = (int) Math.sqrt(area);
int l = sr, w = sr;
while (l <= area && w >= 1) {
int s = l * w;
if (s == area) break;
if (s > area) --w;
else ++l;
}
return new int[]{l, w};
}
}