
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
Teams in a tournament with 8 members, where each team plays every other team twice, each earning $3$ points for a win, $1$ point for a draw, and $0$ points for a loss, have the top four teams with the same number of total points. Determine the greatest possible number of total points for each of these top four teams.

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