
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
If the function $f(x)$ satisfies $f(x)+f(2a-x)=2b$ for any $x$ in its domain, then the graph of the function $y=f(x)$ is said to be symmetrical about the point $(a,b)$.
(Ⅰ) Given that the graph of the function $f(x)= \frac {x^{2}+mx+m}{x}$ is symmetrical about the point $(0,1)$, find the value of the real number $m$;
(Ⅱ) The graph of the function $g(x)$ is symmetrical about the point $(0,1)$ on $(-\infty,0) \cup (0,\infty)$, and when $x \in (0,\infty)$, $g(x)=x^2+ax+1$, find the expression for $g(x)$ on $(-\infty,0)$;
(Ⅲ) Under the conditions of (Ⅰ) and (Ⅱ), if for any real number $x \in (-\infty,0)$, it is always true that $g(x) < f(t)$ when $t>0$, find the range of the real number $a$.

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