
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 triangle \( \triangle ABC \) with \( Q \) as the midpoint of \( BC \), \( P \) on \( AC \) such that \( CP = 3PA \), and \( R \) on \( AB \) such that \( S_{\triangle PQR} = 2 S_{\triangle RBQ} \). If \( S_{\triangle ABC} = 300 \), find \( S_{\triangle PQR} \).

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