
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 international meteorological conference, each participant in turn announced the average monthly temperature in their hometown. At that moment, all the others recorded the product of the temperature in their own city and the announced temperature. A total of 68 positive and 64 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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