
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
The TV station plans to keep 2 out of 5 commercial advertisements and add 1 new advertisement and 2 public service announcements, then determine the total number of different sequences that can be arranged, given that the PSAs cannot be consecutive or placed at the beginning or end of the sequence.

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