
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 $M=\left{ (x,y)\mid y=f(x) \right}$, if for any real number pair $({{x}_{1}},{{y}_{1}})\in M$, 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 "vertical pairwise set". Among the following four sets: $①M=\{(x,y)\mid y= \frac{1}{{x}^{2}}\}$; $②M=\left{ (x,y)\mid y=\sin x+1 \right\}$; $③M=\left{ (x,y)\mid y={{\log }_{2}}x \right\}$; $④M=\left{ (x,y)\mid y={{2}^{x}}-2 \right}$. The sequence number of the "vertical pairwise set" is \_\_\_\_\_\_\_\_.

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