
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
In triangle \( \triangle ABC \), points \( X \) and \( Y \) are on \( BC \) such that \( BX = XY = YC \), and points \( M \) and \( N \) are on \( AC \) such that \( AM = MN = NC \). \( BM \) and \( BN \) intersect \( AY \) at \( S \) and \( R \) respectively. If the area of \( \triangle ABC \) is 1, find the area of quadrilateral \( SMNR \).

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