
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
What is the minimum number of numbers that need to be crossed out from the set of numbers \(1, 2, 3, \ldots, 1982\) so that none of the remaining numbers is equal to the product of any two other remaining numbers? How can this be achieved?

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