
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
In a certain variety show, there are 3 dance and song performances, 2 comedy skits, and 1 cross-talk performance. The order of the performances needs to be arranged such that performances of the same type are not adjacent. Calculate the number of possible arrangements.

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