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 a;
	double h;
	double s;
	
	while (scanf("%lf\n%lf", &a, &h), a != 0 ||  h != 0){
		s = 4 * h * h + a * a;
		s = sqrt(s);
		s = a * s + a * a;
		
		printf("%lf\n", s);
	}
	return (0);
}