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.*;
import static java.util.Arrays.*;
import static java.lang.Math.*;

// AOJ 0073
public class Main {
	static Scanner sc = new Scanner(System.in);
	static char[][] cs = new char[8][8];
	public static void main(String[] args) {
		while (true) {
			int x = sc.nextInt(), h = sc.nextInt();
			if (x == 0 && h == 0) break;
			double dx = (double)x, dh = (double)h;
			double S = dx * dx +
					( ( 2 * dx * sqrt(dx * dx + 4 * dh * dh) ) / 2 );
			System.out.printf("%.6f", S);System.out.println();
		}
	}
	
}