
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
A convex  $n$ -gon  $P$ , where  $n > 3$ , is dissected into equal triangles by diagonals non-intersecting inside it. Which values of  $n$  are possible, if  $P$  is circumscribed?

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