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){
	new Main().run();
    }
    Scanner sc = new Scanner(System.in);

    double x;
    double h;

    void run(){
	while(sc.hasNext()){
	    x = sc.nextDouble();
	    h = sc.nextDouble();
	    if(x!=0) solve();
	}
    }

    void solve(){
	double r = Math.sqrt(h*h+(x/2)*(x/2));
	double s = x*x + 2*(x*r);
	System.out.println(s);
    }
}