
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 league, eight teams play each other exactly three times. Each team earns $3$ points for a win and $0$ points for a loss (no draws allowed). After all the games, the top four teams earn the same number of total points. Determine the greatest possible number of total points for each of the top four teams.

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