2016 省赛热身 Ellipse

There is an beautiful ellipse whose curve equation is:

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.

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

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.

1 1

2 2
简单题意：
　　给出椭圆方程，然后求内接平行四边形，但是这个平行四边行必须内接与一个圆，
　　求符合条件的最大最小面积。
简单思路：
　　由条件可以推出，最大最小为，内接正方形，和内接菱形。。

#include<iostream>
#include<stdio.h>
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;
}