
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 a hyperbola with the equation $$\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$$ (where $a > 0$ and $b > 0$), one of its asymptote equations is $y = \sqrt{3}x$. If one of its foci coincides with the focus of the parabola $y^2 = 16x$, then the standard equation of the hyperbola is __________.

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