
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
Read the following algorithm:  
Step 1, input the value of \\(x\\);  
Step 2, if \\(x \geqslant 0\\), then \\(y = x\\);  
Step 3, otherwise, \\(y = 2x^2\\);  
Step 4, output the value of \\(y\\).  

If the input \\(x \in [-2, 3]\\), then the range of the output \\(y\\) is \_\_\_\_\_\_\_\_.

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