
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 coin and a hole. A schematic (enlarged) view of a 1 kopeck coin is shown in the picture. We have a small piece of thick paper with a round hole exactly the size of this coin (the hole can be made by tracing the edge of the coin with a sharp razor). What is the largest coin I can pass through this hole without tearing the paper?

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