
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
Let the function $f(x)=(x+a)\ln x$, $g(x)= \frac {x^{2}}{e^{x}}$, it is known that the tangent line of the curve $y=f(x)$ at the point $(1,f(1))$ is parallel to the line $2x-y=0$.  
(Ⅰ) If the equation $f(x)=g(x)$ has a unique root within $(k,k+1)$ $(k\in\mathbb{N})$, find the value of $k$.  
(Ⅱ) Let the function $m(x)=\min\{f(x),g(x)\}$ (where $\min\{p,q\}$ represents the smaller value between $p$ and $q$), find the maximum value of $m(x)$.

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