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[] ano) throws java.io.IOException{
        Scanner scan = new Scanner(System.in);
        while(true){
        	int x =scan.nextInt();
        	int h =scan.nextInt();
        	if(x==0&&h==0)break;
        	System.out.println(Math.pow(x, 2)+Math.sqrt(Math.pow((double)x/2, 2)+Math.pow(h, 2))*x*2);
        }
}
}