
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
In acute \\(\triangle ABC\\), the sides opposite to angles \\(A\\), \\(B\\), and \\(C\\) are \\(a\\), \\(b\\), and \\(c\\) respectively. Given \\( \overrightarrow{m}=( \sqrt {3}a,c), \overrightarrow{n}=(\sin A,\cos C), \overrightarrow{m}=3 \overrightarrow{n}\\).  
\\((1)\\) Find \\(C\\);  
\\((2)\\) Find the range of the perimeter of \\(\triangle ABC\\).

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