
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
Given that at 10:00 AM Minneapolis is $N$ degrees warmer than Denver, and at 4:00 PM the temperature in Minneapolis has fallen by $8$ degrees while the temperature in Denver has risen by $5$ degrees, and at that time the temperatures in the two cities differ by $3$ degrees, find the product of all possible values of $N$.

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