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 <vector>
#include <cstdio>
#include <string>
#include <cmath>
using namespace std;
int main(){
	
	int x,h;
	double t,s;
	while(cin>>x>>h){
		if(x!=0&&h!=0){
			t=sqrt(pow((double)x/2,2)+pow(h,2));
			s=pow(x,2)+(double)(x*t)*2;
		
		printf("%.6f\n",s);
		}
		else
			break;
	}
	
}