
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
Divide the natural numbers from 1 to 8 into two groups such that the product of all numbers in the first group is divisible by the product of all numbers in the second group. What is the minimum value of the quotient of the product of the first group divided by the product of the second group?

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