
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 volleyball competition, there were $n$ teams. Each team played against all the others exactly once. For each game, the winning team received one point, and the losing team received no points. There are no ties in volleyball. At the end of the competition, it was found that the points scored by the teams formed an arithmetic progression. How many points did the team in last place score?

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