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 CPP):

Solution:
#include <stdio.h>
#include<math.h>
#include <string.h>
#include <ctype.h>

int main(){
double x,h,c,a;
while(1){
scanf("%lf%lf",&x,&h);
if(x==0&&h==0)break;
c=4*h*h+x*x;
c=sqrt(c);
a=x*c+x*x;
printf("%f\n",a);
}
return 0;
}