
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
At a gathering, there are $n$ invited individuals, among them Mr. Balogh. In addition to these, there is a journalist who wants to speak with Mr. Balogh. It is known that nobody knows Mr. Balogh, but Mr. Balogh knows everyone. The journalist can approach any of the guests and, by pointing to another guest, ask whether they know that person.

a) Can the journalist definitely find Mr. Balogh with fewer than $n$ questions?

b) How many questions does the journalist need to find Mr. Balogh if they are lucky?

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