
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 research institute, several scientists work. During an 8-hour workday, scientists visited the cafeteria, possibly multiple times. It is known that for any two scientists, the total time during which exactly one of them was in the cafeteria was at least \( x \) hours (\( x>4 \)). What is the maximum number of scientists that could have been working that day at the institute (depending on \( x \))?

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