
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 numbers \( a_{0}, a_{1}, a_{2}, \ldots \) is such that for all non-negative \( m \) and \( n \) (with \( m \geq n \)), the following relation holds:

\[ a_{m+n} + a_{m-n} = \frac{1}{2}(a_{2m} + a_{2n}) \]

Find \( a_{1995} \) given that \( a_{1} = 1 \).

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