
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
On the board, several numbers are written. It is known that the square of any recorded number is greater than the product of any two other recorded numbers. What is the maximum number of numbers that can be on the board?

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