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(){
	int x, h;
	double S;
	while(1){
		scanf("%d", &x );
		scanf("%d", &h );
		if( !x && !h )	break;
		double b = sqrt( x*x/4.0 + h*h );
		S = x*x + 2*b*x;
		printf("%.6f\n", S);
	}
	return 0;
}