
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 parabola $C$ with focus $F$ and equation $y^{2}=2px(p > 0)$, two points $A$, $B$ on $C$ satisfy $\overrightarrow{AF}=3\overrightarrow{FB}$. If the distance from the midpoint of chord $AB$ to the directrix is $\frac{16}{3}$, then the equation of the parabola is \_\_\_\_\_\_.

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