
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
Suppose a sequence of positive real numbers \( x_{0}, x_{1}, \cdots, x_{1995} \) satisfies the following two conditions:
(1) \( x_{0} = x_{1995} \);
(2) \( x_{i-1} + \frac{2}{x_{i-1}} = 2 x_{i} + \frac{1}{x_{i}} \) for \( i = 1, 2, \cdots, 1995 \).

Find the maximum value of \( x_{0} \) among all sequences that satisfy the above conditions.

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