
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 have 18 identical cheese wedges on the table. How many distinct ways are there to place 6 of them back into one of the boxes, with their labels facing upwards? (Two placements are not considered different if they can be made to look the same by rotation.)

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