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 {
	private Scanner sc;

	int[][] path;
	public static void main(String[] args) {
		new Main();
	}
	
	public Main() {
		sc = new Scanner(System.in);
		
		while (sc.hasNextLine()) {
			int x = Integer.parseInt(sc.nextLine());
			int h = Integer.parseInt(sc.nextLine());
			if ((x == 0) && (h == 0)) break;
			
			System.out.println(x * x + x * Math.sqrt((x / 2.0) * (x / 2.0) + h * h) * 2);
		}
	}
}