
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 the function F(x) = $\frac{f(x)}{e^{x}}$ is defined on R, where the derivative of f(x) is f''(x), and f''(x) < f(x) holds for all x in R, determine the relationship between f(2) and e^2 f(0) and between f(2017) and e^2017 f(0).

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