
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 $f(x)=\ln x-x^{2}+ax(a\in\mathbb{R})$.

(Ⅰ) Find the intervals of monotonicity for the function $f(x)$;

(Ⅱ) Let $g(x)=xe^{1-x}$. If for any given $x_{0}\in(0,e]$, the equation $f(x)+1=g(x_{0})$ has two distinct real roots in $(0,e]$, find the range of values for $a$. (Here $e$ is the base of the natural logarithm)

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