
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 cross country race between 3 teams of 3 runners each, a runner who finishes in the $n$th position contributes $n$ points to his team's score. The team with the lowest score wins. If there are no ties among the runners, how many different winning scores are possible?

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