
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]


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Let $\overrightarrow{e_1}$ and $\overrightarrow{e_2}$ be two non-collinear vectors. If $\overrightarrow{a}=x\overrightarrow{e_1}+y\overrightarrow{e_2}$, where $x$ and $y$ are real numbers, then denote $\overrightarrow{a}=[x,y]$. Given two non-zero vectors $\overrightarrow{m}$ and $\overrightarrow{n}$ satisfy $\overrightarrow{m}=[x_1,y_1]$ and $\overrightarrow{n}=[x_2,y_2]$, then the correct statement(s) among the following four is/are __________. (Fill in all correct statement numbers)

① $\overrightarrow{m}+ \overrightarrow{n}=[x_1+x_2,y_1+y_2]$;  
② $λ\overrightarrow{m}=[λx_1,λy_1]$, where $λ∈R$;  
③ $\overrightarrow{m}// \overrightarrow{n}⇔x_1y_2=x_2y_1$;  
④ $\overrightarrow{m}⊥ \overrightarrow{n}⇔x_1x_2+y_1y_2=0$.

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