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<cstdio>
#include<cmath>

using namespace std;

int main(){ 
	double x,h;
	double sum;
	while(true){
		scanf("%lf %lf",&x,&h);
		if(x==0 && h==0){
			break;
		}
		sum=pow(x,2);
		h=sqrt(pow(x/2,2)+pow(h,2));
		sum=sum+2*h*x;
		printf("%0.6lf\n",sum);
	}
}