
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
A rhombus $ABCD$ has side length $n$ and its angle $A$ is $60^{\circ}$. The rhombus is divided into $2n^{2}$ equilateral triangles, each with side length 1, by three sets of equally spaced parallel lines parallel to $AB$, $AD$, and $BD$. Find the number of trapezoids $s(n)$ formed by these lines.

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