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.*;
class Main{
	Scanner sc=new Scanner(System.in);
	double x,h;
	void q(){
		while(true){
			x=sc.nextDouble();
			h=sc.nextDouble();
			if(x==0&&h==0)break;
		
		
			double s=x*x+x*Math.sqrt(x*x+h*h*4.0);
			System.out.println(s);
			
		}
	}
	public static void main(String[]agrs){
		new Main().q();
	}
}