
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
Through a point $Q$ inside $\triangle DEF$, a line is drawn parallel to the base $DE$ that divides the triangle into two regions where one region is $\frac{1}{3}$ the area of the entire triangle. If the altitude to $DE$ has a length of $3$, then compute the distance from $Q$ to $DE$.
**A)** $\frac{3}{2}$   
**B)** $1$   
**C)** $2$   
**D)** $\frac{1}{2}$   
**E)** $3$

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