
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 $f(x)=x^{2}-1-a\ln x$ ($a\in \mathbb{R}$).

(Ⅰ) If the curve $y=f(x)$ has only one common point $A$ with the x-axis, find the range of $a$.

(Ⅱ) If the inequality $f(x)\leqslant e^{x-1}+x^{2}-x-1$ holds for any $x\geqslant 1$, find the range of $a$.

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