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 <stdio.h>
#include <cmath>
using namespace std;

int main(){
	int x,h;
	double ans;

	while(scanf("%d\n%d", &x, &h)){
		if(x==0 && h==0) break;
		ans = 0;
		ans += (double)x*x;
		double ah = sqrt(x/2.0*x/2.0+h*h);
		ans += (ah*x)/2.0*4.0;
		printf("%f\n", ans);
	}

	return 0;
}