
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 smallest natural number \( n \) such that in any set of \( n \) different natural numbers that do not exceed 1000, it is always possible to choose two numbers where the larger number is not divisible by the smaller one.

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