
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
With eight small cubes each with an edge length of $1 \text{ cm}$ stacked into a three-dimensional shape, and given its top view as shown in the diagram, how many distinct stacking methods are there (considering rotations that result in the same shape as one method)?

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