
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
Suppose there is a rectangle where the length is twice the width, and the dimensions are positive integers in cm. If the area $A$ of the rectangle is given by $A = lw$ (where $l=2w$) and the perimeter $P$ by $P = 2(l+w)$, which of the following cannot be the sum $A+P$?
A) 104  
B) 106  
C) 108  
D) 110  
E) 112

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