
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
During the 2011 Spring Festival, the office of Lu'an No.1 Middle School had to arrange a duty schedule for six designated leaders to participate from the first to the sixth day of the first lunar month. The requirement was that each leader was on duty for one day, but with the conditions that Principal A and Principal B cannot be on duty on adjacent days, and Director C and Director D also cannot be on duty on adjacent days. How many different scheduling arrangements are possible?

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