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.*;

class Main {
	public static void main(String args[]) {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		String b1,b2;

		try {
			while (true) {
				b1 = br.readLine();
				b2 = br.readLine();
				if (b1.equals("0")&&b2.equals("0")) break;
				double x = Double.parseDouble(b1);
				double h = Double.parseDouble(b2);
				double S = Math.pow(x,2)+(2*x*Math.sqrt(Math.pow(h,2)+Math.pow((x/2),2)));
				System.out.println(S);
			}
		} catch (Exception e) {
			e.printStackTrace();
		}
	}
}