
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 C: y²=8x, its focus is F, the directrix is l, P is a point on l, and Q is a point of intersection of the line PF and C. If $\overrightarrow {PF}$$=3$\overrightarrow {QF}$, then $|QF|=$____.

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