
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 \(\{x_i\}\) be a sequence of positive real numbers such that \(x_0, x_1, \ldots, x_{1995}\) satisfy the following conditions:
(1) \(x_0 = x_{1995}\);
(2) \(x_{i+1} + \frac{2}{x_i} = 2 x_i + \frac{1}{x_{i+1}}, \quad i = 0, 1, 2, \ldots, 1994\).
Find the maximum value of \(x_0\) among all such sequences.

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