
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
In a box, there are several slips of paper, each with a natural number written on it. It is known that whenever we pick any three slips, there are two slips among them such that the sum of the numbers on them is divisible by 5. What is the maximum number of slips on which the numbers are not divisible by 5?

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