Score : $100$ points
Takahashi and Aoki will play a game against each other.
Initially, Takahashi and Aoki have $A$ and $B$ candies, respectively.
They will alternately do the operation below. Takahashi goes first if $C=0$, and Aoki goes first if $C=1$.
The person who first becomes unable to do the operation loses. Which person will win?
Input is given from Standard Input in the following format:
$A$ $B$ $C$
If Takahashi will win, print
Takahashi; if Aoki will win, print
2 1 0
Initially, Takahashi and Aoki have $2$ and $1$ candy(ies), respectively. The game will proceed as follows:
2 2 0
2 2 1