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 <cstdio>
#include <cmath>
using namespace std ;

int main()
{
	double x,h ;
	double high = 0 ;

	while( cin >> x >> h )
	{
		if( x == 0 && h == 0 )	break ;

		high = sqrt( h*h + (x*x)/4 ) ;
		printf("%lf\n", (x*x)+(high*x/2*4)) ;
	}
	return 0 ;
}