
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
We know about an 80-term sequence that any middle term is equal to the product of its neighbors, and the product of the first 40 terms is 8, as is the product of all terms. Determine the first and second elements of the sequence!

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