
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
Grandfather and grandson are playing chess. Grandfather wins a game and scores $1$ point, while the grandson wins a game and scores $3$ points. After playing $12$ games (with no draws), they have the same score. How many games did the grandfather win?

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