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.*;

class Main {
  public static void main (String[] args) {
    Scanner scanner = new Scanner(System.in);
    String out ="";
    while (scanner.hasNext()) {
      double x = scanner.nextDouble();
      double h = scanner.nextDouble();
      if (x == 0 && h == 0) {
        break;
      }
      out += Math.sqrt((x / 2) * (x / 2) + h * h) * x * 2 + x * x + "\n";
    }
    System.out.print(out);
  }
}