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>
int main()
{
	int x, h;
	while (scanf("%d%d", &x, &h))
	{
		if (x == 0.0 && h == 0.0) break;
		printf("%.6f\n", (4.0*(sqrt(double(h*h)+double(x*x)/4.0)*x))/2.0+x*x);
	}
}