
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
There are 25 identical seats in a row, and five teachers A, B, C, D, and E need to be arranged such that students can later sit in the seats for a photo. The teachers must appear in the order A, B, C, D, and E from left to right in the row, and there must be at least two empty seats between any two adjacent teachers. How many different ways are there to arrange the teachers in this manner? (Note: The arrangement mentioned here refers to the arrangement of the teachers and empty seats, not considering the subsequent arrangement of the students).

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