Ellipse
Description
There is an beautiful ellipse whose curve equation is:
![Ellipse \frac {x^2}{a^2} + \frac {y^2}{b^2} = 1 (a > b > 0)](http://simg.sinajs.cn/blog7style/images/common/sg_trans.gif)
There is a parallelogram named P inscribed in this ellipse. At the same time, the parallelogram P is externally tangent to some circle center at the origin (0,0).
Now your task is to output the maximum and minimum area of P among all possible conditions.
Input
The input consists of multiple test cases.
For each test case, there is exactly one line consists of two integers a and b. 0 < b <= a <= 109
Output
For each test case, output one line of two one-space splited numbers: the maximum area and the minimum area. The absolute or relative error of the coordinates should be no more than 10-6.
Sample Input
1 1
Sample Output
2 2
题意:一个椭圆内切一个平行四边形,平行四边形里内切一个以原点为圆心的圆
解题思路:(这撒比的题意,和刘哲贤学姐愣是猜了两个多小时)最后能出的题都出了,他俩在搞下雨的那个数学题,我在看题,画来画去最后还是觉得里面内切一个圆才合适,好好高中几何学的够硬,比划着找出来两个临界状态,但是最后一句话,说了保留精度,但是案例没有输出小数点,唉~弄得最后这个题没出,还是比完赛才试着改了改提交了。
感悟:灵光一闪太**的重要了;
代码:
#include
#include
using namespace std;
int main()
{
double a,b;
while(scanf("%lf%lf",&a,&b)!=EOF)
printf("%f %f\n",2*a*b,(4*a*a*b*b)/(a*a+b*b));
return 0;
}
我每天都在努力,只是想证明我是认真的活着.