
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
Fifteen people stand in a circle, each picking a number between 1 and 30. Every person whispers their number to their immediate neighbors. Then, each individual calculates and publicly announces the average of their neighbors' numbers. If the person who declares the average as 10 picked the number 20, find the sum of the numbers picked by all fifteen people.
A) 140
B) 150
C) 160
D) 170

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