
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
Let \( A = \{ V, W, X, Y, Z, v, w, x, y, z \} \). Find the number of subsets of the 2 configuration
\[
\begin{array}{c}
\{\{V, W\},\{W, X\},\{X, Y\},\{Y, Z\},\{Z, V\},\{v, x\},\{v, y\},\{w, y\},\{w, z\},\{x, z\}, \\
\{V, v\},\{W, w\},\{X, x\},\{Y, y\},\{Z, z\}\}
\end{array}
\]
that are consistent of order 1.

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