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;

public class Main
{
	public static void main(String arg[])
	{
		Scanner sc = new Scanner(System.in);
		while(sc.hasNext())
		{
			double x = sc.nextDouble();
			double h = sc.nextDouble();
			double l=0;
			if(x==0 && h==0)
				return;

			double s1 = x*x;
			l=Math.sqrt(((x/2)*(x/2))+(h*h));
			double s2 = (x*l/2)*4;
			double ans = s1+s2;
			System.out.printf("%.6f", ans);
			System.out.println();
		}


	}

}