
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
Find the maximum number $N$ for which there exist $N$ consecutive natural numbers such that the sum of the digits of the first number is divisible by 1, the sum of the digits of the second number is divisible by 2, the sum of the digits of the third number is divisible by 3, and so on, up to the sum of the digits of the $N$-th number being divisible by $N$.

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