
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
The vertices of a triangle with area $T$ are divided in the ratio of $\frac{1}{3}$ from each vertex towards the midpoint of the opposite side, and lines are drawn to form a smaller triangle. What is the ratio of the area of the smaller triangle to the original triangle?

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