
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 the parabola equation $y^{2}=2px,(p > 0)$, with focus $F$ and directrix $l$. A perpendicular line is drawn from a point $M$ on the parabola to the directrix $l$, and the foot of the perpendicular is $E$. If $|EF|=|MF|$, and the x-coordinate of point $M$ is $3$, then $p=$       .

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