
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 that the area of the triangle \( \triangle ABC \) is \( 3Q \); \( D, E \) and \( F \) are the points on \( AB, BC \) and \( CA \) respectively such that \( AD = \frac{1}{3} AB, BE = \frac{1}{3} BC, CF = \frac{1}{3} CA \). If the area of \( \triangle DEF \) is \( R \), find the value of \( R \).

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