
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
Suppose \( A \) has \( n \) elements, where \( n \geq 2 \), and \( C \) is a 2-configuration of \( A \) that is not \( m \)-separable for any \( m<n \). What is (in terms of \( n \)) the smallest number of elements that \( C \) can have?

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