
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 midsegment of a trapezoid is equal to 4. A line parallel to the bases of the trapezoid and dividing its area in half intersects the legs at points \( M \) and \( N \). Find the minimum possible length of the segment \( MN \).

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