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 {
    public static void main(String[] args) {
        // 自分の得意な言語で
        // Let's チャレンジ！！
        Scanner sc = new Scanner(System.in);
        while(true){
           String line=sc.nextLine();
String line2=sc.nextLine();
            if((line.equals("0")&&line2.equals("0"))){
                break;
            }
            double []j=new double[2];
            j[0]=Double.parseDouble(line);
            j[1]=Double.parseDouble(line2);
            System.out.println(j[0]*j[0]+2*Math.sqrt((j[0]/2)*(j[0]/2)+j[1]*j[1])*j[0]);
        }
    }
}