
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
The perimeter of an equilateral triangle exceeds the perimeter of a rectangle by $2016 \ \text{cm}$. The length of each side of the triangle exceeds one of the lengths of the rectangle by $d \ \text{cm}$, and exceeds the other length by $2d \ \text{cm}$. The rectangle has a non-zero perimeter. What is the minimum possible positive integer value for $d$?
A) 504
B) 505
C) 663
D) 1008
E) 2016

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