
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 dual meet cross country race between 2 teams, each consisting of 6 runners, a runner who finishes in the $n$th position contributes $n$ points to his team's respective score. Lower scores are considered more favorable and earn the team a victory. If every runner finishes in a unique position (no ties), calculate how many different winning scores are possible under these circumstances.

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