
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
Vasya, whom you are familiar with from the first round, came up with $n$ consecutive natural numbers. He wrote down the sum of the digits for each number, and as a result, he also got $n$ consecutive numbers (possibly not in order). What is the maximum possible value of $n$ for which this is possible?

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