
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 propositions:  
\\(①\\) The range of the function \\(y=2^{x}(-1\leqslant x\leqslant 1)\\) is \\(\left[ \frac{1}{2},2\right]\\);  
\\(②\\) To obtain the graph of the function \\(y=\sin (2x- \frac{\pi}{3})\\), it is only necessary to shift all points of the graph of the function \\(y=\sin 2x\\) to the right by \\(\frac{\pi}{3}\\) units;  
\\(③\\) When \\(n=0\\) or \\(n=1\\), the graph of the power function \\(y=x^{n}\\) is a straight line;  
\\(④\\) Given the function \\(y=|\log_{2}x|\\), if \\(a\neq b\\) and \\(f(a)=f(b)\\), then \\(ab=1\\).  
The correct proposition numbers are \_\_\_\_\_\_.

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