
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 15 students, each student is represented by a dot on an imagined graph, with lines connecting students who are friends. Mia is planning a study group session. She wants to invite her friends, plus any classmate who has at least one friend among her friends.

Mia is directly friends with 4 classmates. Among these friends, each one is also friends with 2 other students in the class, not including Mia or their mutual friends. Given these information, how many students will not be invited to the study session?
A) 0
B) 1
C) 2
D) 3
E) 4

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