
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
An odd person did not get lazy and wrote 2023 numbers in a circle in such a way that each number is equal to the product of its two neighbors. What is the maximum number of different numbers that could be used?

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