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>

int main(){
	while(1){
		int x, h;
		double s=0;
		
		scanf(" %d %d", &x, &h);
		if(x==0) break;
		
		s += x*x;
		
		double r = sqrt(h*h + x*x/4.0);
		s += x*r*2; 
	
		printf("%lf\n", s);	
	}

	return 0;
}