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) throws IOException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		double x = 1;
		double h = 1;
		while(x!=0&&h!=0){
			x = Double.parseDouble(br.readLine());
			h = Double.parseDouble(br.readLine());
			double h2 = Math.sqrt((x/2)*(x/2)+h*h);
			System.out.println((x!=0)?x*x+ (h2*x)*2:"");
		}
	}
}