
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
Jia, Yi, and Bing play table tennis with the following rules: each game is played between two people, and the loser gives way to the third person. If Jia played 10 games and Yi played 7 games, then Bing can play at most \_\_\_\_\_\_ games; and can win at most \_\_\_\_\_\_ games.

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