
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 continuously adds letters to a pile on the secretary’s in-box throughout the morning in the order $1, 2, 3, 4, 5, 6, 7, 8, 9$. Over the course of the morning, the secretary manages to type two letters before lunch, which were letters $8$ and $5$. What possible sequences could be processed after lunch given that these letters have been typed, and how many such sequences are there?

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