
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
A city's Spring Festival gala originally planned for 10 programs. The director decided to add 3 programs related to "Disaster Relief from Ice" at the last minute. However, these disaster relief programs cannot be placed first or last, and the relative order of the already arranged 10 programs cannot be changed. How many total arrangements are there for the gala's program list? (Answer with a number)

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