
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, Chicago is $N$ degrees cooler than Denver. At $3{:}00$ PM, the temperature in Chicago has risen by $4$ degrees while the temperature in Denver has fallen by $2$ degrees. At this time, the temperatures in the two cities differ by $1$ degree. What is the product of all possible values of $N$?
A) 10
B) 20
C) 30
D) 35
E) 40

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