레이팅 미적용\(3^{rd}\) round, December \(7^{th}\), 2013
One day, little Mirko came across a funny looking machine! It consisted of a very very large screen
and a single button. When he found the machine, the screen displayed only the letter A. After he
pressed the button, the letter changed to B. The next few times he pressed the button, the word
transformed from B to BA, then to BAB, then to BABBA... When he saw this, Mirko realized that the
machine alters the word in a way that all the letters B get transformed to BA and all the letters A get
transformed to B.
Amused by the machine, Mirko asked you a very difficult question! After K times of pressing the
button, how much letters A and how much letters B will be displayed on the screen?
In test data worth 20% of total points, K will be less or equal to 10.
The first line of input contains the integer K (\(1 \le K \le 45\)), the number of times Mirko pressed the
button.
The first and only line of output must contain two space-separated integers, the number of letters A
and the number of letter B.
10 142 31034 55