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 sc=new Scanner(System.in);
        while(true){
            double x=sc.nextDouble();
            double h=sc.nextDouble();
            if(x==0&&h==0){
                break;
            }
            double sum=x*x;
            double hh=Math.sqrt((x/2)*(x/2)+h*h);
            sum+=(x*hh/2)*4;
            System.out.println(sum);
        }
    }
}