
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
Andrey, Boris, Vasily, Gennady, and Dmitry played table tennis in pairs so that each pair played against every other pair exactly once. There are no ties in tennis. It is known that Andrey lost exactly 12 times, and Boris lost exactly 6 times. How many times did Gennady win?

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