
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
In rectangle ABCD, AB = 8 and BC = 3. Point E is placed on AB such that EB = 2, point G on BC such that CG = 2, and point F on CD such that DF = 1. Segments AG and AC intersect EF at points Q and P, respectively. Determine the value of PQ/EF.

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