
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
A sequence of 2015 positive numbers is written in a row. The product of all the numbers is 2015, and the product of any three consecutive numbers is equal to 1. What is the 1008th number in the sequence?

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