
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
Find all integers  $n \leq 3$  such that there is a set  $S_n$  formed by  $n$  points of the plane that satisfy the following two conditions:
    Any three points are not collinear.
    No point is found inside the circle whose diameter has ends at any two points of  $S_n$ .**NOTE:** The points on the circumference are not considered to be inside the circle.


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