
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
On a board are written the numbers \(1, 2, 3, \ldots, 57\). What is the maximum number of these numbers that can be selected so that no two selected numbers differ by exactly 2.5 times?

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