
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 midpoint of each side of a parallelogram is connected to the ends of the opposite side. Find the area of the octagon formed by the intersections of the drawn segments if the area of the parallelogram is equal to 1.

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