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.*;

public class Main {
  Scanner sc = new Scanner(System.in);
  double x, h;
  void run() {
    for(;;) {
      x = sc.nextInt();
      h = sc.nextInt();
      if (x == 0 && h == 0) break;
      //System.out.println(x + "|" + h);
      double l = Math.sqrt(x*x/4 + h*h);
      double res = x*x + 2 * x * l;
      System.out.println(res);
    }
  }
  public static void main(String args[]) {
    new Main().run();
  }
}