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 JAVA):

Solution:
import java.util.Scanner;
class Main
{
    public static void main(String args[])
    {
	Scanner scan=new Scanner(System.in);
	while(true)
	    {
		int x,h;
		x=scan.nextInt();
		h=scan.nextInt();
		if(x==0 && h==0)break;
		double ans,length;
		length=Math.sqrt(Math.pow((double)x/2,2)+Math.pow((double)h,2));
		ans=Math.pow((double)x,2)+2*(((double)x*length));
		System.out.printf("%.6f\n",ans);
	    }
    }
}