Treasure Hunt

On the way to school, Heehyun picked up a treasure map. The map said this.

1. Let the coordinates of the school's main gate be $(0, 0)$.
2. $x_0 = a$ and $y_0 = b$. ($0 < b \le a$)
3. $x_{n+1} = \dfrac{x_n + y_n}{2}$, $y_{n+1} = \dfrac{2 x_n y_n}{x_n + y_n}$
4. Keep following the trail and the treasure turns up!

The two sequences $x_n$ and $y_n$ converge to one and the same value. That value is both the $x$ coordinate and the $y$ coordinate of the treasure. Help Heehyun and find where the treasure is.

The first line contains two positive integers $a$ and $b$, separated by a space. ($0 < b \le a \le 10^{18}$)

Print the $x$ coordinate and the $y$ coordinate of the treasure on the first line, separated by a space.

Round both coordinates at the fourth digit after the decimal point and print exactly three digits after the decimal point. Keep trailing zeros. If the answer is the integer $6$, write it as 6.000.