
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Suppose three players $X$, $Y$, and $Z$ start with $17$, $16$, and $15$ tokens respectively in a modified game. In each round, the player with the most tokens gives one token to each of the other two players and places two tokens in the discard pile. The game ends when any player runs out of tokens. How many rounds will there be in the game?
A) 21 rounds
B) 22 rounds
C) 23 rounds
D) 24 rounds

Present the answer in LaTex format: \boxed{Your answer}
user