
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
The focus of the parabola $C:y^{2}=8x$ is $F$, and the directrix is $l$. $M$ is a point on $C$, and point $N$ is on $l$. If $FM\perp FN$ and $|MF|=10$, then $|NF|=$____.

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