
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
Given that players $A$, $B$, and $C$ start a game with $18$, $17$, and $16$ tokens, respectively, where in each round the player with the most tokens gives one token to each of the other players and also places one token in the discard pile, determine the number of rounds until some player runs out of tokens.

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