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:
//0073
#include <bits/stdc++.h>
using namespace std;

int main(){
	double x,h,S_ans,S_teimen,S_sokumen;
	while(cin>>x>>h,x != 0&&h != 0){
		S_teimen = x * x;
		S_sokumen = 2 * x * sqrt(pow(x/2,2)+pow(h,2));

		S_ans = S_teimen + S_sokumen;
		printf("%0.7f\n",S_ans );
	}
	return 0;
}