
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
Construct a $2 \times 2 \times 2$ cube using $3$ white unit cubes and $5$ blue unit cubes. How many different ways are there to build the cube considering that configurations are equivalent if one can be rotated to form another?
- **A)** 14
- **B)** 16
- **C)** 18
- **D)** 19
- **E)** 21

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