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 <iostream>
#include <cmath>
#include <cstdio>
using namespace std;

int main() {
  while(1) {
    int x, h;
    double area,x2;
    cin >> x >> h;
    if(x==0 && h==0) break;

    area=x*x;
    x2=(double)x/2;
    area+=(double)2*sqrt(h*h+x2*x2)*x;

    printf("%f\n",area);
  }
  return 0;
}