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 JAVA):

Solution:
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.math.BigDecimal;

public class Main {
	public static void main(String[] args){
		// TODO 自動生成されたメソッド・スタブ
		BigDecimal one = new BigDecimal("1.00");
		int[] abo = {0,0,0,0};
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		String tmp = null;
		int cup = 0;
		int mun = 0;
		int ter = 0;
		String[] rrr;
		int st = 0,sr = 0;
		double mon = 0;
		int syo=0,hisi=0;
		double aaaa = 1;
		
		
		while(true){
			
			try {
				tmp = br.readLine();
			} catch (IOException e) {
				// TODO 自動生成された catch ブロック
				e.printStackTrace();
			}
			
			if(tmp == null){
				break;
			}
			
			if(tmp.equals("")){
				break;
			}
			
			mon = Double.parseDouble(tmp);
			
			try {
				tmp = br.readLine();
			} catch (IOException e) {
				// TODO 自動生成された catch ブロック
				e.printStackTrace();
			}
			
			if(tmp == null){
				break;
			}
			
			if(tmp.equals("")){
				break;
			}
			
			aaaa = Double.parseDouble(tmp);
			
			if(aaaa == 0.0 && mon == 0.0){
				break;
			}
			
			double oef;
			
			oef = Math.sqrt(aaaa*aaaa+mon*mon/4d);
			
			System.out.println((mon*mon+oef*mon*2d));
			
			
		}
	}

}