
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 develops between any two polar explorers, independent of other friendships or dislikes. When the winter ends and it's time to go home, in each pair of friends, the older one gives friendly advice to the younger one. Find the expected number of those who did not receive any friendly advice.

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