
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
Kojevnikov P.A. placed \( n \) paper circles with radius 1 on a plane such that their boundaries pass through a common point, and this point is inside the region covered by the circles. This region forms a polygon with curved sides. Find its perimeter.

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