
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 $f''(x)$ is the derivative of the function $f(x)$, and $f(1)=e$, for any real number $x$, it holds that $2f(x)-f''(x) > 0$, then the solution set of the inequality $\frac{f(x)}{e^x} < e^{x-1}$ is __________.

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