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.io.*;

public class Main{
	public static void main(String[] args){
		BufferedReader reader=new BufferedReader(new InputStreamReader(System.in));
		try{
			String s,t;
			while((s=reader.readLine()) !=null &&(t=reader.readLine()) !=null){
				double n=Integer.parseInt(s);
				double m=Integer.parseInt(t);
				if(n ==0 &&m==0){
					break;
				}
				double x=n*n;
				double l=Math.sqrt(m*m+n*n/4);
				double y=2*n*l;
				System.out.println(x+y);
			}
		}catch(IOException e){
			System.exit(0);
		}
	}
}