
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 triangle $\triangle ABC$, lines $CF$ and $AD$ are drawn such that $\frac{CD}{DB} = 2$ and $\frac{AF}{FB} = 1$. Let $r = \frac{CQ}{QF}$ where $Q$ is the intersection point of $CF$ and $AD$. Determine $r$.

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