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;

class Main {
  public static void main(String[] args) {
    Scanner sc = new Scanner(System.in);
    while(sc.hasNext()) {
      double  x = sc.nextFloat();
      double h = sc.nextFloat();

      if(x == 0 && h == 0) {
        break;
      }

      double S = x * x;
      double y = Math.sqrt((x/2.0)*(x/2.0)+h*h);
      S += 4.0 * (x * y / 2.0);

      String s = String.format("%.5f", S);
      System.out.println(s);
    }
  }
}