
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
A rectangle with positive integer side lengths \( a \) and \( b \) (in cm), has an area \( A \) (in cm²) and a perimeter \( P \) (in cm) incremented by 2 cm due to an additional border. Determine which of these numbers cannot equal \( A + P \): 
\( 110, 112, 114, 116, 118 \).
A) 110  
B) 112  
C) 114  
D) 116  
E) 118

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