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>

using namespace std;

int main()
{
  double x,h,answer;
  while (1) {
    scanf("%lf%lf", &x, &h);
    if ( x == 0 && h == 0 ) { break; }
    answer = pow(x,2) + (sqrt(pow(h,2) + pow((x/2), 2)) * x / 2 * 4);
    printf("%.6f\n", answer);
  }
  return 0;
}