
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, six different Archie comic books, and four different Garfield comic books. They must still be stacked in groups (all Spiderman together, all Archie together, all Garfield together), but the Archie comics cannot be placed at the bottom of the stack. How many different ways can these 17 comic books be stacked?

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