
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
At a research institute, several scientists work an 8-hour workday. During this time, they visited the buffet, possibly several times. It is known that for every pair of scientists, the total time during which exactly one of them was in the buffet was at least $x$ hours (where $x > 4$). What is the maximum number of scientists that could be working at the institute that day, depending on $x$?

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