
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 the World Meteorological Conference, each participant took turns announcing the average monthly temperature in their home city. All others recorded the product of the temperatures in his and their cities at that moment. A total of 62 positive and 70 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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