
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 set $M=\{(x,y)|y=f(x)\}$, if for any $(x_{1},y_{1})\in M$, there exists $(x_{2},y_{2})\in M$ such that $x_{1}x_{2}+y_{1}y_{2}=0$ holds, then the set $M$ is called a "perpendicular point set". Consider the following four sets: $①M=\{(x,y)|y= \frac{1}{x}\}$; $②M=\{(x,y)|y=\log_{2}x\}$; $③M=\{(x,y)|y=e^{x}-2\}$; $④M=\{(x,y)|y=\sin x+1\}$. Among these, the ones that are "perpendicular point sets" are __________.

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