
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
Given that Alice, Bob, Cindy, Dave, and Emma have internet accounts, some but not all of whom are internet friends with each other, and none have friends outside this group, and each has the same number of internet friends, determine the number of ways the configuration of friendships can occur.

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