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<iostream>
#include<cmath>

using namespace std;

int main()
{
	for(;;){
		int x;
		int h;
		double S = 0;
		
		cin >> x >> h;
		
		if(x == 0 && h == 0){
			break;
		}
		
		S += x*x;
		S += x*(double)sqrt((x*(double)x/4)+(h*h))*2;
		
		printf("%lf\n",S);
	}
}