
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
Mr. Reader now has seven different Spiderman comic books, four different Archie comic books, five different Garfield comic books, and three different Batman comic books. When stacked, all the comic books of each type are grouped together. However, the Batman comic books must always be at the bottom of the stack. In how many different ways can these 19 comic books be stacked in a pile with the covers facing up and all facing the same direction?

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