
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 noon on a certain day, Minneapolis is $N$ degrees warmer than St. Louis. At $4{:}00$, the temperature in Minneapolis has fallen by $7$ degrees, while the temperature in St. Louis has risen by $5$ degrees, at which time the temperatures in the two cities differ by $4$ degrees. What is the product of all possible values of $N$?

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