
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 an Antarctic station, there are $n$ polar explorers, all of different ages. With probability $p$, a friendship is established between any two polar explorers, independently of other friendships or animosities. When the wintering period ends and it is time to return home, in each pair of friends, the elder gives friendly advice to the younger. Find the expected number of individuals who do not receive any friendly advice.

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