
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 $f\left( x \right)=1-\frac{1}{x}-a\ln x$.

(1) Find the value of $a$ if $f\left( x \right)\leqslant 0$;

(2) For any positive integer $n$, $1+\frac{1}{2}+\frac{1}{3}+\cdots +\frac{1}{n}-\ln n\leqslant m$, find the minimum value of $m$.

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