
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 functions $f(x)=x\ln x-x+1$, $g(x)=x^{2}-2\ln x-1$,  
(Ⅰ) Let $h(x)=4f(x)-g(x)$, find the monotonic intervals of $h(x)$;  
(Ⅱ) If for $x\geqslant 1$, it always holds that $af(x)\leqslant g(x)$, find the range of values for $a$.

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