
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 points \( M \) and \( N \), which divide the side \( AB \) of triangle \( ABC \) into three equal parts, lines parallel to the side \( AC \) are drawn.

Find the area of the part of the triangle enclosed between these lines, given that the area of triangle \( ABC \) is 1.

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