
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 the curve $f(x)=e^{2}x+\frac{1}{ax}(x\neq 0,a\neq 0)$ at $x=1$, its tangent line is parallel to the line $(e^{2}-1)x-y+2016=0$.

(1) Discuss the monotonicity of $y=f(x)$;

(2) If $kf(s)\geq t\ln t$ holds for all $s\in(0,+\infty)$, $t\in(1,e]$, find the range of values for the real number $k$.

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