
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
The first digit of a string of 1003 digits is a 2. Any two-digit number formed by consecutive digits within this string is divisible by 17 or 23. What is the largest possible last digit in this string?

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