Problem: Create a program that outputs the surface area S of a square cone with a height of h, with a square with one side x as the base. However, assume that the line segment connecting the apex and the center of the base is orthogonal to the base. Also, x and h are positive integers less than or equal to 100.

Input

Given multiple datasets. Each dataset is given in the following format:


x
h


When both x and h are 0, it indicates the end of input.



Output

Output S (real number) on one line for each data set. The output may contain an error of 0.00001 or less.

Example

Input

6
4
7
9
0
0


Output

96.000000
184.192455

Solution (in CPP):

Solution:
#include<cstdio>
#include<cmath>
using namespace std;
int main(void)
{
	double x,h,y,s;
	while(1)	{
		scanf("%lf %lf",&x,&h);
		if(x==0.0 && h==0.0)	break;
		y=sqrt((x/2.0)*(x/2.0)+h*h);
		s=x*x+4.0*(x*y/2.0);
		printf("%lf\n",s);
	}
	return 0;
}