
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
On a board, there are \( n \) different integers written. The product of the two largest numbers is 77, and the product of the two smallest numbers is also 77. What is the largest possible value of \( n \)?

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