
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
Given that \( f(x) = \frac{(2^x + 1)^2}{2^x \cdot x} + 1 \) attains its maximum value of \( M \) and minimum value of \( N \) on the interval \( [-2018,0) \cup (0,2018] \), find \( M + N \).

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