
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 21 students in Class 3(1), with student numbers ranging from 1 to 21. They are arranged in a circle. The differences between the student numbers of each adjacent pair are recorded as positive values, calculated as the larger number minus the smaller number. What is the maximum possible sum of these 21 differences?

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