
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]


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At the World Meteorological Conference, each participant took turns announcing the average monthly temperature in their home city. At that moment, all other participants recorded the product of the temperatures in his and their cities. A total of 50 positive and 60 negative numbers were recorded. What is the minimum number of times a positive temperature could have been announced?

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