
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
A survey of 100 travelers carrying medicines abroad found that 75 people carried cold medicine, and 80 people carried stomach medicine. The maximum and minimum number of people who carried both cold and stomach medicines are respectively.

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