
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
Triangle \(ABC\) with an area of 1 is given. Point \(A'\) lies on the extension of side \(BC\) beyond point \(C\) such that \(BC = CA'\). Point \(B'\) lies on the extension of side \(CA\) beyond point \(A\) such that \(CA = AB'\). \(C'\) lies on the extension of \(AB\) beyond \(B\) such that \(AB = BC'\). Find the area of triangle \(A'B'C'\).

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