
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 \( n \) points on a plane such that no three points are collinear, \( m \) line segments are drawn using these \( n \) points as endpoints. It is known that for any two points \( A \) and \( B \) among these \( n \) points, there exists a point \( C \) such that there are line segments connecting \( C \) to both \( A \) and \( B \). Find the minimum value of \( m \).

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