
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, each of a different age. With a probability $p$, a friendly relationship forms between any two polar explorers, independent of other attractions or dislikes. When winter ends and it is time to go home, in each pair of friends, the older one gives friendly advice to the younger one. Find the expected number of people who do not receive any friendly advice.

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