
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
A 2019-digit number written on a board is such that any number formed by two adjacent digits (in the order they follow) is divisible by 13. Find the last digit of this number, given that the first digit is 6.

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