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(){
	float x1,x2,x3, h ,h2, s , l;
	while(cin>>x1>>h){
		if(x1==0&&h==0)break;
		x2 = x1 / 2;
		x3=pow(x2,2);
		h2=pow(h ,2);
		x2 += h2;
		s =sqrt(x3+h2);
		
		l = (x1*s)/2;
		printf("%f\n",((4*l)+(x1)*(x1)));
	}
}