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>
#include <iomanip>
using namespace std;

int main()
{
	double x, h, s;

	cout<<setprecision(6);
	cout<<setiosflags(ios::fixed);
	while (cin>>x>>h, x||h) {
		s = 4.0*x*sqrt(x*x/2.0/2.0+h*h)/2.0 + x*x;
		cout<<s<<endl;
	}

	return 0;
}