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[] args) {
		Scanner sc=new Scanner(System.in);
		double x,h,c,s,ans;
		while(true){
			x=sc.nextDouble();
			h=sc.nextDouble();
			if(x==0 && h==0) break;
			c=Math.sqrt(h*h+(x/2)*(x/2));
			s=c*x*2;
			ans=s+x*x;
			System.out.printf("%.6f\n",ans);
		}
	}
}