
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 tournament, teams play one match against each other. A win earns one point, and a loss earns zero points. It is known that at one point during the tournament, all teams had a different number of points. How many points did the second-to-last team have at the end of the tournament, and how did it play against the winner?

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