
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
Find the conditions satisfied by the sequence of positive integers $\left\{a_{0}, a_{1}, \ldots, a_{n+1}\right\}$ such that for any positive integer $n$, the equation $\frac{a_{0}}{a_{1}}+\frac{a_{0}}{a_{2}}+\ldots+\frac{a_{0}}{a_{n}}+\frac{2017}{a_{n+1}}=1$ holds. (2017 is a prime number)

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