
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
We spill the content of a box of paprika-flavored and a box of bear's garlic-flavored, eight-slice Maci cheese onto a table, then put the 16 small cheese slices (with their labels facing up) back into the boxes. In how many different ways can we do this if arrangements that can be transformed into each other by rotation are not considered different, but the two boxes are distinguished from each other?

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