
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 qualifying match, there is a group of 5 teams playing a double round-robin tournament (each pair of teams plays two matches). It is known that winning a match earns 3 points, drawing earns 1 point, and losing earns 0 points. Determine the number of different possible point totals for a team.

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