
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
Twelve distinct natural numbers are written in a circle, one of which is 1. Any two neighboring numbers differ either by 10 or by 7. What is the largest possible value of the greatest number written?

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