
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, Boston is $N$ degrees colder than Denver. At $5{:}00$ PM, the temperature in Boston has risen by $10$ degrees while the temperature in Denver has decreased by $4$ 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)** 90\
**B)** 120\
**C)** 150\
**D)** 180\
**E)** 195

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