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.*;
public class Main 
{
	public static void main(String[] args) 
	{
		Scanner stdIn = new Scanner(System.in);
		while(stdIn.hasNext())
		{
			int x = stdIn.nextInt();
			int h = stdIn.nextInt();
			if(x == 0 && h == 0)
			{
				break;
			}
			double surfaceArea = x * x;
			surfaceArea += 2 * (Math.sqrt((x / 2.0) * (x / 2.0) + h * h) * x);
			System.out.printf("%.6f\n", surfaceArea);
		}
	}
}