
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 following propositions:  
\\((1)\\) The graph of the function \\(y=3^{x} (x \in R)\\) and the graph of the function \\(y=\log_{3}x (x > 0)\\) are symmetric about the line \\(y=x\\);  
\\((2)\\) The smallest positive period \\(T\\) of the function \\(y=|\sin x|\\) is \\(2\pi\\);  
\\((3)\\) The graph of the function \\(y=\tan (2x+ \frac{\pi}{3})\\) is centrally symmetric about the point \\((- \frac{\pi}{6},0)\\);  
\\((4)\\) The interval of monotonic decrease for the function \\(y=2\sin ( \frac{\pi}{3}- \frac{1}{2}x), x \in [-2\pi,2\pi]\\) is \\(\left[- \frac{\pi}{3}, \frac{5}{3}\pi\right]\\).  
The correct proposition numbers are \_\_\_\_\_\_.

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