
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
Arrange for four teachers - A, B, C, and D - to take turns on duty from Monday to Saturday. Each day requires one person on duty. A, B, and C each take one day, while D takes three days. Additionally, D must be on duty for at least two consecutive days. Find the number of different possible duty arrangements.

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