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<stdio.h>
#include<math.h>
int main(void)
{
	double x,h,s,x1,h1,s1,s2;
	scanf("%lf",&x);
	scanf("%lf",&h);
	while(!(x==0.0 && h==0.0)){
		
		s=sqrt(h*h+x/2*x/2);
		x1=x*x;
		s1=x*s/2*4+x1;
		
		printf("%lf\n",s1);
		scanf("%lf",&x);
		scanf("%lf",&h);
	}
	return 0;
}