
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
Triangle $PQR$ is such that angle $Q$ is trisected by lines $QM$ and $QN$, which meet $PR$ at points $M$ and $N$ respectively. Determine the ratio $\frac{PM}{NR}$ given that $\angle QPM$ and $\angle QNR$ are the same and angle trisectors are equally spaced.
**A)** 1
**B)** 2
**C)** 0.5
**D)** 1.5

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