
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
In a football championship, 16 teams participated. Each team played against every other team once. A win was awarded 3 points, a draw 1 point, and a loss 0 points. A team is called successful if it earned at least half of the maximum possible points. What is the maximum number of successful teams that could be in the tournament?

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