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<cstdio>
#include<iostream>
#include<math.h>
using namespace std;

int main(){


  while(1){
    int x,h;
    double s,a,b;
    
    scanf("%d %d",&x,&h);
    if(x==0 && h==0) break;

    s=x*x;
    a=x/2.;
    b=sqrt(a*a+h*h);
    
    s+=x*b*2;

    printf("%f\n",s);
  }

  return 0;
}