
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
There are 12 people seated in a circle. Each person randomly picks a number and communicates it to their two immediate neighbors. Subsequently, each person calculates and announces the average of the numbers they received from their neighbors. Due to this, the sequence of averages announced coincides with the sequence numbers from 1 to 12 consecutively. If the total sum of the numbers picked by all individuals is 78, find the number picked by the person who announced the average \( 8 \).
A) 6
B) 9
C) 10
D) 13

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