
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 race with 3 teams of 4 runners each, runners contribute scores to their team based on their finishing position, where even positions count double their number, and odd positions count as their number. The team with the lower 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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