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<bits/stdc++.h>
using namespace std;
int main(){
  double x,h,area=0;
  while(1){
    cin >> x >> h;
    if( x == 0 && h == 0) break;
    area+=(x*x);
    double y=sqrt((x/2)*(x/2)+h*h);
    area+=x*y*2;
    printf("%lf\n",area);
    area=0;
  }
  return 0;
}