
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 manager gives the letters to be printed to the secretary one at a time, placing each on the top of the stack. The secretary prints the top letter whenever there is free time. On one day, there are 9 letters to be printed, labeled from 1 to 9. The manager gives them to the secretary in this order. Before lunch, the secretary tells a colleague that the 8th letter has been printed, but does not provide any other specific details about the morning's activities. How many possible sequences can the letters be printed in the afternoon based on the given information? (Having no letters left to print is also a possible sequence.)

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