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<iomanip>
#include<cmath>

int main()
{
	double x, h;
	while( std::cin >> x >> h, x || h )
	{
		double t = sqrt( x * x / 4.0 + h * h );

		std::cout << std::fixed << std::setprecision( 6 ) << x * t * 2.0 + x * x << std::endl;
	}

	return 0;
}