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) {
	int x, h;
	double S;
	
	while(1) {
		S = 0;
		scanf("%d %d", &x, &h);
		if(!x && !h)
			break;

		S += x * x;
		S += x * sqrt(x * x + 4 * h * h);

		printf("%lf\n", S);
	}

	return 0;
}