
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 tournament, there are eight teams that play each other twice. A team earns 3 points for a win, 1 point for a draw, and 0 points for a loss. Furthermore, the top four teams earned the same number of total points. Calculate the greatest possible number of total points for each of the top four teams.

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