
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
Three people are playing table tennis, where the player who loses a game gives up their place to the player who did not participate in that game. In the end, it turned out that the first player played 10 games, and the second player played 21 games. How many games did the third player play?

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