
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 $y=\dfrac{|x|}{{e}^{x}}$ has a tangent line at $x=-1$ and another tangent line at $x={{x}_{0}}$ (${{x}_{0}} > 0$) that are perpendicular to each other. If ${{x}_{0}}\in \left(\dfrac{m}{4},\dfrac{m+1}{4}\right),m\in \mathbb{Z}$, then $m=$         .

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