
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 function $f(x)=\ln x+x^{2}-2ax+1$, where $a$ is a constant:

1. Discuss the monotonicity of the function $f(x)$;
2. If there exists $x_{0}∈(0,1]$ such that for any $a∈(-2,0]$, the inequality $2me^{a}+f(x_{0}) > a^{2}+2a+4$ (where $e$ is the base of the natural logarithm) holds, find the range of values for the real number $m$.

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