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 scan = new Scanner(System.in);
        int sum = 0;
        while(scan.hasNext()){
        	int x = scan.nextInt();
        	int h = scan.nextInt();
        	if(x == 0 && h == 0){
        		break;
        	}
        	System.out.printf("%.6f\n",(double)x*x + (double)x*Math.sqrt(4*h*h+x*x));
        }
    }
}