
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
Given a parallelogram \(ABCD\) with points \(A_1\), \(B_1\), \(C_1\), and \(D_1\) such that point \(A\) is the midpoint of segment \(DD_1\), point \(B\) is the midpoint of \(AA_1\), point \(C\) is the midpoint of \(BB_1\), and point \(D\) is the midpoint of \(CC_1\). Find the area of \(A_1B_1C_1D_1\) given that the area of \(ABCD\) is \(1\).

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