
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 algorithm steps below: $(S_{1})$ Input the value of $x$; $(S_{2})$ When $x < 0$, calculate $y=x+1$, otherwise proceed to $(S_{3})$; $(S_{3})$ Calculate $y=-x^{2}$; $(S_{4})$ Output $y$. When the input value of $x$ is $-2$, $3$, the output value of $y$ is _______ respectively.

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