
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
Given \( n (n > 2) \) points on a graph with each pair of points connected by a line segment, can you trace all these segments in a single path such that the endpoint of the first segment is the starting point of the second segment, the endpoint of the second segment is the starting point of the third segment, and so on, until the endpoint of the last segment coincides with the starting point of the first segment?

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