
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
In an office, the boss delivers ten letters labeled from $1$ to $10$ to the secretary's in-box in this specific order. Using the same top-of-the-pile and typing principle, the secretary has already typed out letters $8$ and $1$. The secretary leaves for lunch without typing any more letters. After lunch, it needs to be determined in which possible orders the remaining letters can be typed. Assume no further letters will be added aside from the ones already mentioned, and the typing order continues from the top of the pile.

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