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>

int main(void) {

  int x,h;

  while(1) {

    scanf("%d",&x);

    scanf("%d",&h);

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

    printf("%6lf\n",x*x+2.0*x*sqrt(x*x/4.0+h*h));

  }

  return 0;

}