Score : $100$ points

Problem Statement

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 $C=1$.

• Eat one of the candies he has.

The person who first becomes unable to do the operation loses. Which person will win?

Constraints

• All values in input are integers.
• $0 \leq A, B \leq 100$
• $C \in \{0, 1\}$

Input

Input is given from Standard Input in the following format:

$A$ $B$ $C$

Output

If Takahashi will win, print Takahashi; if Aoki will win, print Aoki.

2 1 0

Takahashi

Initially, Takahashi and Aoki have $2$ and $1$ candy(ies), respectively. The game will proceed as follows:

• Takahashi eats his candy.
• Aoki eats his candy.
• Takahashi eats his candy.
• Aoki has no more candies, so Takahashi wins.

2 2 0

Aoki

2 2 1

Takahashi