
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 digit string consists of 2023 digits. The first digit of this string is a 1. Any two-digit number formed by consecutive digits within this string is divisible by either 19, 29, or 31. Determine the largest possible last digit of this string.

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