
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
Let \(a_{0}, a_{1}, \cdots, a_{n}\) be positive integers such that \(a_{0} > a_{1} > \cdots > a_{n} > 1\), and satisfy the equation
\[
\left(1-\frac{1}{a_{1}}\right) + \left(1-\frac{1}{a_{2}}\right) + \cdots + \left(1-\frac{1}{a_{n}}\right) = 2\left(1-\frac{1}{a_{0}}\right).
\]
Find all possible solutions for \(\left(a_{0}, a_{1}, \cdots, a_{n}\right)\).

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