
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
Anya drew a picture featuring circles, some of which are connected to each other. Grisha then placed natural numbers in the circles. Anya noticed that the ratio of any two numbers in connected circles is either 3 or 9. Grisha added that the ratio of any two numbers in unconnected circles is neither 3 nor 9. Provide an example of such an arrangement.

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