
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
Dima calculated the factorials of all natural numbers from 80 to 99, found the numbers that are reciprocals to them, and printed the resulting decimal fractions on 20 infinite ribbons (for example, the last ribbon had printed the number $\frac{1}{99!}=0, \underbrace{00 \ldots 00}_{155 \text { zeros! }} 10715$.. ). Sasha wants to cut out a piece from one ribbon that contains $N$ consecutive digits without a comma. What is the maximum value of $N$ for which Dima will not be able to determine from this piece which ribbon Sasha spoiled?

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