
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
Given that $O$ is the origin of the coordinates, through point $P$ on the hyperbola $\frac{x^2}{a^2} - y^2 = 1$ $(a > 0)$ draw parallel lines to the two asymptotes, and let the intersections with the two asymptotes be points $A$ and $B$, respectively. If the area of the parallelogram $OBPA$ is 1, then the equation of the asymptotes of this hyperbola is _________.

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