
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 square by $108 \ \text{cm}$. The length of each side of the triangle exceeds the length of each side of the square by $d+2 \ \text{cm}$. The square has a perimeter greater than 0. Calculate the number of positive integers that are NOT possible values for $d$.

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