
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
In a class of 30 students, each student is represented by a dot on a graph, and each friendship is represented by a line connecting two dots. For a specific event, Anna decides to invite all her friends, all friends of her friends, and all friends of friends of friends. Determine the number of students who will not be invited to the event.

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