
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
Eight football teams play matches against each other in such a way that no two teams meet twice and no three teams play all of the three possible matches. 
What is the largest possible number of matches?

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