
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
Given that a school has scheduled six periods for Chinese, Mathematics, English, Physics, Chemistry, and Physical Education (PE) on a Friday, with one period for each subject, and considering the additional conditions that PE cannot be scheduled in the first period and Mathematics cannot be in the fourth period, calculate the number of different possible class schedules.

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