
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 $f(x)= \frac {x+1}{x}+ \frac {a\ln x}{x^{2}}$, where $a\in\mathbb{R}$.  
(I) If the tangent line $l$ of the function $f(x)$ at $x=1$ passes through the origin, find the value of $a$ and the equation of the tangent line $l$;  
(II) If $a=2$, and there exists $t\in\mathbb{R}$ such that $f(t) > k$, find the maximum integer value of $k$. (Reference data: $\ln \frac {5}{4}=0.223$)

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