
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
There are 99 people at a diplomatic reception, each of whom has heard of at least $n$ other participants. If person A has heard of person B, it does not automatically mean that person B has heard of person A. What is the minimum value of $n$ that guarantees there will be two participants who have heard of each other?

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