
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
To arrange a performance program with 6 singing programs and 4 dance programs, where no two dance programs can be adjacent, how many different arrangements are possible? (Only the formula needs to be written, no need to calculate.)

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