
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 $$f(x)=\ln x+ \frac {a}{x}-x+1-a (a\in R)$$.
(1) Find the monotonic intervals of the function $f(x)$;
(2) If there exists $x>1$ such that $f(x)+x< \frac {1-x}{x}$, find the minimum value of the integer $a$.

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