
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
In the vertices of a regular 2019-gon, numbers are arranged such that the sum of the numbers in any nine consecutive vertices is equal to 300. It is known that the 19th vertex has the number 19, and the 20th vertex has the number 20. What number is at the 2019th vertex?

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