
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
The diagram shows the eight vertices of an octagon connected by line segments. Jodhvir wants to write one of the integers \(1, 2, 3, \) or \(4\) at each of the vertices so that the two integers at the ends of every line segment are different. He has already written three integers as shown. How many times will the integer \(4\) appear in his completed diagram?
Options:
A) 5
B) 4
C) 3
D) 2
E) 1

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