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 PYTHON):

Solution:
#!/usr/bin/env python
# coding: utf-8

import math


def get_answer(param):
    x = float(param[0])
    h = float(param[1])
    temp1 = (x * x)
    temp2 = math.sqrt((x / 2) ** 2 + h ** 2)
    temp3 = x * temp2 * 2
    return temp1 + temp3


def main():
    params = []
    while 1:
        x = int(raw_input())
        h = int(raw_input())
        if (x == 0) and (h == 0):
            break
        params.append((x, h))
    for param in params:
        print get_answer(param)

if __name__ == '__main__':
    main()