
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 preliminary competition, a certain group has $5$ teams playing a round-robin tournament (each pair of teams plays two matches), where winning one match earns $3$ points, drawing one match earns $1$ point, and losing one match earns $0$ points. The top two teams with the most points can advance (if the points are equal, the net win-goal difference or total goals will be considered). How many different possible point situations can a team have after the matches?

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