
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
Let \\(f(x)=a\ln x+ \frac {1}{2x}+ \frac {3}{2}x+1\\), where \\(a\in R\\), and the curve \\(y=f(x)\\) has a tangent at the point \\((1,f(1))\\) that is perpendicular to the \\(y\\)-axis.  
\\((\\)Ⅰ\\()\\) Find the value of \\(a\\);  
\\((\\)Ⅱ\\()\\) Find the extreme values of the function \\(f(x)\\).

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